The Longhorns (9-4) never led before Goodwin scored his second touchdown on a deep post pattern, just a play after Texas converted a fourth-and-1 play to keep its chances alive.
Storm Woods ran for 118 yards and scored two touchdowns for Oregon State (9-4).
SYRACUSE 38, WEST VIRGINIA 14
In New York, Prince-Tyson Gulley ran for 217 yards and had three touchdowns, Syracuse scored twice on safeties and the Orange bid a snow-covered farewell to the Big East with a victory over West Virginia (7-6).
Syracuse (8-5) will enter the Atlantic Coast Conference on a roll after finishing this season with six wins in its last seven games, capped by its second postseason victory at Yankee Stadium in the past three years.
FIGHT HUNGER BOWL
ARIZONA STATE 62, NAVY 28
In San Francisco, Taylor Kelly threw four touchdown passes and ran for a fifth score to lead Arizona State (8-5) to its first bowl win in seven years.
The Midshipmen (8-5) have lost five of their past six bowl games.
ARMED FORCES BOWL
RICE 33, AIR FORCE 14
In Forth Worth, Texas, freshman quarterback Driphus Jackson threw for 264 yards in relief of hurt Rice starter Taylor McHargue, including two touchdown passes, and the Owls (7-6) beat Air Force (6-7). Jackson hit Jordan Taylor on his two touchdown passes.
MEINEKE CAR CARE BOWL
TEXAS TECH 34, MINNESOTA 31
In Houston, D.J. Johnson returned an interception 39 yards and Ryan Bustin made a 28-yard field goal as time expired to give Texas Tech (8-5) a comeback victory over Minnesota (6-7).