Badenhop was released by the Rangers on Monday, Baseball America reports.

Badenhop got roughed up in two innings with Triple-A Round Rock, so the Rangers decided they could go on without the veteran reliever. He does have a decent track record in the majors, holding a 3.74 career ERA, so he could land a spot with a team in need of pitching depth.

Badenhop signed a minor league deal with the Rangers on Wednesday, Evan Grant of the Dallas Morning News reports.

Badenhop, who's bounced around from organization to organization this spring and over the past few seasons, signed with the Rangers after being released by the Nationals on Sunday. He went 2-4 with a 3.93 ERA in 66.1 innings with the Reds last season and should provide organizational bullpen depth.

Badenhop was released and subsequently resigned to a minor contract by the Nationals on Wednesday.

The veteran pitcher decided to stay on with the organization after failing to make the big league club, so he'll likely act as organizational depth for Washington this season. Given his experience, though, he may appear in the majors if some of the Nationals' bullpen arms go down to injury.

Badenhop was assigned to minor league camp Monday.

The veteran is coming off of a rough year with the Reds, but the Nationals took a flyer on him as a free agent last month. The team will give Badenhop some extra time to decide whether to accept the assignment of opt for his unconditional release.

Badenhop signed a minor league contract with the Nationals on Thursday that includes an invitation to spring training, Jonah Keri of CBS Sports reports.

The veteran reliever struggled early on with the Reds last season, but he bounced back in the second half of the season to post a more respectable 3.93 ERA. The groundball specialist will likely compete for a bullpen spot with the Nationals during spring training.

With the surprising demotion of reliever Sam LeCure to the minors Thursday, the Reds' Opening Day bullpen is set.

It will feature closer Aroldis Chapman, Burke Badenhop, Kevin Gregg, Jumbo Diaz, Tony Cingrani, Manny Parra and J.J. Hoover, per MLB.com.

Gregg was the only non-roster invitee among the group.

The Reds are Burke Badenhop's fifth team in five seasons, and he hopes they'll be his last for awhile. 

"It's an either everybody wants me but nobody wants me type of thing," he told MLB.com's Mark Sheldon.

It's hard to take issue with his performance. Since 2011, Badenhop has appeared in at least 70 games every season, and hasn't had an ERA higher than 4.10. But he's bounced between the Marlins, Rays, Brewers and Red Sox. 

The Reds made him their only MLB free agent signing of the winter, and his contract includes a mutual option for 2016. Badenhop hopes to convince the Reds to use their half of it. 

"When I go out there 70 times in the year, I have to bring it physically and mentally," he said. "I like to have fun, be in charge, be in control and stuff like that. I'm not your average reliever."

The Reds announced several roster moves on Saturday, per the team's official website.

The team signed right-hander Burke Badenhop to a one-year contract with a mutual option for 2016. In a corresponding move, Cincinnati also designated left-hander Ismael Guillon for assignment, and signed right-hander Kevin Gregg to a minor-league deal with a spring training invite.

Badenhop pitched for the Red Sox in 2014, registering a 2.29 ERA over 70 2/3 innings of work. Gregg last pitched for the Marlins in 2014. He allowed 10 earned runs, including 10 home runs in nine innings of work with Miami.

The Blue Jays are looking at multiple free-agent relievers, according to FoxSports.com.

The team has been in contact with Francisco Rodriguez, Rafael Soriano and Burke Badenhop. Both Rodriguez and Soriano have closer experience, while Badenhop has only saved four games over his career. Badenhop, however, did post the lowest ERA of the bunch last year, coming in at 2.29. 

Rodriguez, 33, posted a 3.04 ERA over 68 innings last year. He saved 44 games with Milwaukee.

The 35-year-old Soriano posted a 3.19 ERA over 62 innings last season. He lost his closer role late in the season after going into a bit of a slump.

The Blue Jays and Nationals have been in contact with the reps for free agent reliever Burke Badenhop, a source told FOX Sports.

Badenhop, who will turn 32 years old on Feb. 8, went 0-3 with a 2.29 ERA in 70 relief appearances for Boston in 2014. He has a 3.71 ERA over seven MLB seasons.

Red Sox pitcher Burke Badenhop was stuck with a loss Monday, allowing one earned run on two hits and two walks in his team's 4-3, 10-inning defeat against the Rays.

Badenhop (0-3) retired the final two batters of the ninth inning before giving up a leadoff double in the 10th. An intentional walk was followed by a sacrifice and then another intentional walk to load the bases, with the Rays getting the RBI single to win the game. Badenhop owns a 2.53 ERA and 35:19 K:BB ratio in 64 innings.

Red Sox reliever Burke Badenhop hasn't allowed a run in his last 17 appearances (18 innings) through Saturday and hasn't allowed an earned run since April 18, which is a stretch of 27 appearances (31 1/3 innings).

"Being aggressive and having confidence," Badenhop said of his success, per ESPN.com. "Last year I didn't pitch very well with guys on base."

Red Sox pitcher Burke Badenhop earned his first save of the season Wednesday by recording the final out in his team's 14-inning win over the White Sox.

Badenhop was called upon with a man on first and two outs in the 14th inning and needed seven pitches to induce a groundout and tally his fourth career save in the 6-4 Red Sox win. He has posted a 7.36 ERA and 4:2 K:BB ratio in 7 1/3 innings.

Red Sox reliever Burke Badenhop took his second loss of the season Tuesday against the White Sox, though he didn't get much help from the defense.

Badenhop got the last out of the eighth inning, but ran into trouble in the ninth with the game tied at one. He allowed a leadoff walk to Alejandro De Aza, who was then caught stealing, before allowing a single and being pulled with two outs.

Badenhop took the loss as Chris Capuano allowed the White Sox to score the winning run, though that came on a throwing error by shortstop Xander Bogaerts. Badenhop has now allowed a run in four straight outings, leaving him with a 7.71 ERA in seven innings of work.

Red Sox reliever Burke Badenhop was charged with the loss on Saturday against -- his former team -- the Brewers in extra innings.

Badenhop (0-1) entered the game in the 11th inning and allowed a ground-rule double to Khris Davis followed by a run-scoring double to Logan Schafer. He allowed one run on two hits and no walks while striking out one over two-thirds of an inning in a 7-6 defeat. He has allowed four hits over 2 2/3 innings pitched this season.

The Red Sox and pitcher Burke Badenhop have avoided arbitration by agreeing to a one-year deal, the team announced.

Badenhop was acquired from the Brewers earlier this offseason. He went 2-3 with a 3.47 ERA, 1.19 WHIP and 42:12 K:BB ratio in 62 1/3 innings last season.

The Red Sox acquired reliever Burke Badenhop from the Brewers for left-hander Luis Ortega Friday. Badenhop posted a 3.47 ERA over 62 1/3 innings last season for the Brewers.

Burke Badenhop recorded the final out for the Brewers in extra innings Sunday against St. Louis to pick up his first save.

Badenhop entered to face switch-hitter Carlos Beltran in relief of left-hander Mike Gonzalez, who recorded an out against left-handed batter Matt Carpenter for the second out of the 10th. The Brewers had already used Jim Henderson in the eighth inning to get work in -- he hadn't pitched in five days -- and so they used a committee approach to record the final three outs Sunday.

The Brewers avoided arbitration with relief pitcher Burke Badenhop on Friday. Badenhop agreed to a one-year, $1.55 million contract.