Missouri State led 35-22 at the break, and held the Bulldogs to just 15 second-half points. C.J. Rivers made a free throw at the start of the second, and Drake didn't score again until Jordan Daniels hit a jumper with 13:57 left to play.
Missouri State grabbed 20 more boards than Drake in the contest.
Jacob Enevold Jensen led the Bulldogs (3-11, 0-2) with 13 points, the only Drake player to score in double figures as the team combined to shoot 28.6 percent.