It was a game of scoring runs by both offenses.
It set up a 3-yard touchdown run from Flowers out of the "wildcat" formation, giving OU a 28-10 lead with 10:06 to play in the second quarter.
In that game, he threw for 386 yards and three touchdowns.
Mayfield has many times put the Oklahoma offense on his back to carry the team to victory. That appeared to put the game away, with the Sooners up 48-31 with a little under nine minutes left in the game. Baylor has collapsed in the wake of the end of the Art Briles era and things have not been going well for new head coach Matt Rhule.
Smith hit Pooh Stricklin for 32 yards to Oklahoma's 33.
Mims came into the game with seven catches on the season for 214 yards and three touchdowns. "Consider the loyalty these Baylor players have shown".
Southern Mexico rocked by 6.1-magnitude natural disaster
A bulldozer removes debris from a partially collapsed building after an quake in Mexico City , Tuesday, Sept. 19, 2017. Saturday's quake was centered in Oaxaca state near Matias Romero, a town about 275 miles southeast of Mexico City .
No. 3 Oklahoma plays at 0-3 Baylor Saturday night in Waco (6:30 p.m. ET, FS1).
Mayfield completed 13 of 19 passes for 283 yards and three touchdown passes, but it was the Sooner run game that ultimately made the difference in the contest and allowed Oklahoma to escape the upset bid.
Abdul Adams scored on a 99-yard touchdown run to extend OU's lead to 21-7 with 5 seconds left in the first quarter.
The Bears got a 32-yard field goal from Conner Martin to cut the Sooners' lead to 21-10 with 12:39 to play in the first half. The big play ability was still in effect, as Smith connected on two plays that went over 70 yards for two of his touchdowns.
Mayfield's touchdown pass came after he had been flagged 15 yards for unsportsmanlike conduct.
His team is about to take on a down Big 12 rival in the hapless Baylor Bears.