The Commodores (6-4, 3-3 Southeastern Conference) are now bowl eligible for the second straight season for the first time in school history.
Vanderbilt trailed 23-6 early in the third quarter, but Rodgers found Jordan Matthews for a 52-yard touchdown minutes later to start the Commodores rally.
Rodgers completed 20 of 35 passes for 267 yards and two touchdowns. Matthews caught nine passes for 153 yards and a touchdown.
Vandy will host Tennessee this Saturday at 6pm on Thunder Radio.