Salvador Perez went 2 for 4 with a pair of run-scoring doubles.
Tommy Pham gave the Cardinals a 2-0 lead against Gerrit Cole (12-11) two batters into the game when he sent the first pitch of his at-bat over the center-field wall. Pham was 2 for 4 with three RBIs.
The Bears (1-3, 0-1) capped the scoring on a late field goal.
Drew Lock finished 23-of-39 passing for 216 yards and a pair of touchdowns for Missouri, which allowed its most points since a 63-37 loss to Tennessee last season.
Charity game played for former Glendale coach Howard Bell. Proceeds from the game will benefit the ALS clinic at CoxHealth