With the loss, the Falcons will be the No. 6 seed in the MAC Tournament, giving them a home game Monday night at 7 p.m. against No. 11 seeded Central Michigan. The Falcons defeated the Chippewas 71-58 earlier this season.
A'uston Calhoun paced the Falcons with 23 points, while Dee Brown (15) and Jordon Crawford (13) also scored in double figures for BG.
The Bulls used an aggressive inside presence throughout the game, attempting 25 foul shots, while BG had only eight free throw attempts.
Mitchell Watt led the Bulls with 20 points, who shot 47.9 percent from the field, including 38.5 percent from three-point distance.