The Golden Eagles (7-1, 3-1 Conference USA), who won their sixth straight game and are knocking on the door of a Top 25 ranking, broke open a 10-10 game in the second half when Davis threw scoring passes of 47 yards to Quentin Pierce and 15 yards to Dominique Sullivan, and Woodyard scored on a 68-yard run.
Davis also had a 1-yard TD pass to Ryan Balentine in the first quarter and finished with 190 yards passing.
UTEP (4-4, 1-3), which was held to 262 yards of offense, got its only touchdown in the first quarter on a 1-yard run by Leilyon Myers. Dakota Warren added a pair of field goals for the Miners.
How the hardships of picking oranges and tomatoes in the fields of Florida delivered Clemson star Mackensie Alexander to the NFL's doorstep.
SEC Network's Maria Taylor, Marcus Spears and Kevin Weidl discuss the fit for QB Brandon Allen at Jacksonville and RB Jonathan Williams at Buffalo.
SEC Network's Maria Taylor, Marcus Spears and Kevin Weidl discuss the former Mississippi State QB's potential with the Cowboys.
SEC Network's Marcus Spears and Kevin Weidl discuss the SEC players that will have the biggest overall impact in the NFL.
SEC Network's Marcus Spears and Kevin Weidl break down the best fits for offense and defense, and players with the most upside from Day 3 of the Draft.
The Browns drafted former Arizona LB Scooby Wright III in the seventh round of the NFL draft, and he celebrated by jumping into the pool fully clothed.