Daniel David passed for 93 yards and ran 18 times for 50 yards and three touchdowns for the Owls (5-1).
Kennesaw State ran 51 times for 342 yards and six touchdowns. Antavius Grier scored on a 10-yard run to open the scoring on the Owls' second drive.
David added a first-quarter TD run and Rechsteiner scored on a 49-yard run early in the second to make it 21-0.
Jack Chambers' 40-yard touchdown pass to Garris Schwarting cut the deficit to 31-20 for the Buccaneers (1-5) early in the fourth quarter but that was as close as they would get.
Chambers completed 20 of 45 passes for 296 yards, two touchdowns and an interception.
Copyright 2019 by STATS LLC and Associated Press. Any commercial use or distribution without the express written consent of STATS LLC and Associated Press is strictly prohibited.