The regular season Big Ten champions, Michigan (27-8) put four players in double figures and shot a blistering 53.6 percent in the first half and advance to the Midwest regional semifinals next Friday against either Tennessee or Mercer in Indianapolis.
Glenn Robinson Jr., who the Milwaukee Bucks took with the first overall pick 1994 NBA pick, was a frequent guest on the arena's jumbotron, drawing a positive reaction from the sellout crowd that was mostly decked out in red Wisconsin gear.
But after the game, the cameras were all focused on Robinson III, who propelled Michigan to the e Sweet 16 for the second straight season.
Trailing by as many as 18 points in the first half, the Longhorns (24-11) tried to make things interesting with a 17-5 run just over the midpoint of the second half to cut the lead to 58-52, but Robinson hit a driving layup and a 3-pointer off a turnover to extend the lead back to double digits.
Freshman Isaiah Taylor (game-high 22 points) brought Texas back to within eight at 68-60 with 3:09 remaining, but the Wolverines went on an 8-0 run to make it 76-60 with just over a minute to go.
Michigan got a team-high 17 points from Big Ten player of the year Nik Stauakas, 15 from Jordan Morgan and 14 each from Caris LeVert and Robinson, who scored his seven second-half points in less than three minutes. Texas was aiming to advance to the Sweet 16 for the sixth time in the last 13 years and the first since 2008, but the Longhorns has no answer for the spot-on perimeter shooting of Michigan's starting lineup.
Of Michigan's first 19 shots, Michigan went 7-for-12 from 3-point range and registered 10 fast break points, leading to a 30-14 deficit the continued to grow.
The perimeter offense didn't stop from there, as Michigan finished 14-for-28 from 3-point range compared to only 4-for-11 for the Longhorns. The Wolverines also turned nine Texas turnovers into 15 points, while Texas only managed two points off four Michigan turnovers.
After shooting 59.3 percent (16 of 27) in the first half against Arizona State, Texas got plenty of offense from Taylor, but not much else. Registering his team-leading 27th double-figure scoring game of the season, Taylor finished 8-for-22 shooting, but the rest of the Longhorns starting five - Jonathan Holmes, Cameron Ridley, Demarcus Holland and Javan Felix - finished 9-for-26 (34.6 percent).
Martez Walker added 14 points off the bench for Texas, which shot 37.1 percent, including just 34.4 percent in the second half.
Texas turned 21 offensive rebounds into 19 second-chance points, but Ridley - the hero Thursday with his buzzer-beating jumper to slip past Arizona State - was a non-factor offensively. Although he secured eight rebounds, the sophomore center managed with only six points, finishing the season scoring in single digits in three out of four games.
A year after finishing 16-18, Texas won at least 24 games for the 10th time in 16 years under Rick Barnes, but failed to win consecutive games after Feb.18.