CLEVELAND -- Ben Broussard was glad he didn't hear the fans calling his name.
"I didn't hear it," Broussard said about the fans' chanting "Ben-ny, Ben-ny," each time he came to bat after hitting his fourth career grand slam in the first inning. "I was locked in. It's probably good that I didn't hear them. I would have probably started to overswing."
Instead, Broussard added a solo homer and went 4-for-5 as Cleveland won the final two games of a three-game series. Boston has lost five of its last seven.
Beckett (3-1) gave up six hits and eight earned runs in 3 2/3 innings in his first loss since Aug. 28 when he was with the Florida Marlins. Broussard's slam was the first allowed by Beckett in 638 career innings.
"It was one of those nights, just brutal, brutal, brutal," Beckett said.
Broussard opened the third with a 421-foot shot down the right-field line for his fourth homer of the season and fifth career two-homer game.
Paul Byrd (3-2) gave up two runs over five innings for Cleveland.
"Ben was unbelievable," Byrd said. "He sure made me feel comfortable, giving me a four-run lead like that. And the crowd chanting his name was great. That was really cool."
Broussard's two-run, bases-loaded single off Julian Tavarez in the sixth put Cleveland ahead 11-2 and gave Broussard a .368 (14-for-38) career average and 47 RBI when hitting with the bases loaded.
Broussard added an RBI single in Cleveland's four-run seventh to become the first Indians player with eight RBI since Manny Ramirez on Sept. 24, 1999, at Toronto. The club record is nine by Chris James on May 4, 1991, at Oakland.
"I didn't try to think about anything except being aggressive at the plate," Broussard said. "I had some crazy game in the low minors where I went 5-for-5 with three homers and 11 (RBI) or something, but that was a long time ago," at Single-A Great Falls in 1999.
Broussard, platooning with right-hander Eduardo Perez at first base this season, is hitting .489 (23-for-47) against right-handers with four homers and 17 RBI. Perez is hitting .346 with three homers and 10 RBI against lefties.
"Broussard had a career night and I wish it would have been against someone else," Boston manager Terry Francona said. "We didn't have an answer for anything and it just got worse."
Beckett, the key part of a seven-player trade with the Marlins last November, walked five and struck out six. It was the third time in his career that he gave up three homers -- including his last start April 21 against Toronto.
Beckett had allowed just eight earned runs in 28 1/3 innings before Thursday.
"If your fall off the horse, you've got to get back on," he said. "I have to turn it around, forget about it and move on.
"My most important pitch will be my next one."
- Beckett's nine runs allowed were the most by a Boston starter since Derek Lowe gave up nine on June 29, 2004, at Yankee Stadium.
- Cleveland has a major league-high 142 runs in 22 games.
- Indians DH Travis Hafner walked a career-high four times, seeing 21 pitches.
- LF Jason Michaels struck out all three times up against Beckett on only 11 pitches.
- Ramirez went 0-for-3 against Byrd and is 0-for-9 in his career against the right-hander.
- Ortiz has 15 RBI in his last 17 games.
- Indians CF Grady Sizemore tied a career high with four runs.