Robinson went 11-of-22 for 135 yards and ran for 34 yards on eight carries.
Dez Bryant caught both touchdown passes and finished the game with three catches for 77 yards for the Cowboys.
Kendall Hunter had 23 carries for 75 yards for Oklahoma State.
Georgia's Joe Cox completed 15-of-30 passes for 162 yards, one touchdown and one interception for the Bulldogs.
Richard Samuel rushed 87 yards on 20 carries for Georgia.
Oklahoma, which led 10-7 at halftime, had a 74-yard kickoff return by Perrish Cox to start the third quarter.