Gillikin averaged 46.8 yards per punt against the Chicago Bears on Sunday.
Barkley's honor was his third of the season.
The Mackey Award recognizes the best tight end in college football.
KeAndre Lambert-Smith is approaching a career-high in receiving yards in a season this year at Auburn.
Saquon Barkley recorded his fourth 100-yard rushing game of the season.
Godwin was placed in injured reserve after an ankle injury.