Eason made his second collegiate start and played every snap, completing 29 of 55 passes for 308 yards, three touchdowns and one interception.
McKenzie caught 10 passes for 122 yards and two touchdowns, including the go-ahead score. He also carried the ball twice for 19 yards, with a 6-yard touchdown run near the end of the first quarter.
The Tigers (1-2) turned the ball over five times, including four in the second half. Missouri's Drew Lock was 23 of 38 for 376 yards, three touchdowns and three interceptions.
J'Mon Moore had eight catches for 196 yards and two touchdowns, including a 79-yard score that gave the Tigers a 20-14 lead midway through the second quarter.
Midway through the second quarter, Georgia faced third-and-short in Missouri territory. Chubb was tackled in the backfield for a loss, but Missouri was penalized for having 12 defenders on the field, resulting in a first down that set up a 2-yard touchdown pass to Christian Payne. Payne finished with five catches for 41 yards.
The Bulldogs (3-0) were 0-2 on field goal attempts. William Ham missed two field goals wide left, both of which were set up by Lock's interceptions.