The nine-play, 42-yard drive was capped by McCoy's 2-yard TD run to provide the Longhorns' first lead of the game.
McCoy looked much more comfortable on the scoring drive after throwing two interceptions earlier in the half.
But the most critical play in the drive was a pass interference penalty by Nebraska defensive back Eric Hagg in the end zone. Hagg was ruled to have face-guarded Dan Buckner on the play.
McCoy scored two plays later.