Julien Lewis returned after missing the last game with a concussion and led Texas with 15 points, hitting four of 11 from 3-point range. Javan Felix scored 13 points.
Barnes decided to play his second-leading scorer, Sheldon McClellan, just 7 minutes. He did not score.
"We know our guys. We know when they're engaged, we know when they're focused and that's what we base it on," Barnes said. "I think those guys will tell you if they're doing what we want them to do, they can make mistakes. We don't expect them to be perfect. What we want: We want guys engaged.
"We're around these guys every day of the year almost. We know when they're focused, like Myck had a tough day today and he fought it. He was trying to do it, maybe do too much."
The Longhorns tried to deploy their full-court press, but couldn't duplicate their comeback from a 22-point deficit in the final 8 minutes of regulation in an overtime win against Oklahoma on Wednesday night.
Oklahoma State was able to handle the pressure without much trouble, using it to create easy scoring chances.
Phil Forte grabbed a press-breaking outlet pass and hit an open 3-pointer from the left wing, and Brown converted a three-point play on the Cowboys' next possession after getting a high-arcing runner to go over the corner of the backboard and fall in. His ensuing free throw stretched the lead to 65-46 with 7:31 remaining.
"Everybody wants to know why you don't press all the time. Well, certain teams obviously handle pressure more than other teams," Barnes said. "We don't want to have to get behind and scramble all the time."
Ford said he watched Texas' comeback against Oklahoma twice, trying to analyze why it happened.
"I figured we could be right back in that situation. We had our guys watch it, too," he said. "We controlled things on our end the way we needed to. They turned us over a couple times, we were lackadaisical but by that time, the game was in hand."