Rosario missed the game because of a hip pointer, and Yeguete suffered a head injury early in the first half when he slammed into the padding at the base of the basket. He went to the locker room for stiches and never returned.
The Gators essentially were left with a seven-man rotation that included seldom-used guard Casey Prather.
The result was Florida (19-6, 7-3 Southeastern Conference) lost consecutive games for the first time this season. The Volunteers (13-12, 5-5) swept the series for the first time since 2009.
Bradley Beal and Kenny Boynton led the Gators with 16 points apiece. Boynton had four of the team's 11 3-pointers. Florida leads the nations in 3s, but shot 37.9 percent (11 of 29) from behind the arc.
Golden hit two foul shots with 17.2 seconds left to push the lead back to nine.
Wes Washburn was called for a technical foul with 11 seconds left, but Boynton missed both free throws. The Gators kept the ball, and Scottie Wilbekin hit a 3 to make it 73-67, but Golden sank two more on the other end to seal the victory.
Skylar McBee had 13 points for Tennessee, and Jordan McRae added 12 before fouling out in the final minute. Talented freshman Jarnell Stokes played despite a sore right hand and finished with four points. Cameron Tatum spent most of the game on the bench in foul trouble. He didn't take a shot and finished scoreless for the third time in the last five games.
Tennessee used a 15-2 run midway through the first half to take a 24-12 lead. McRae scored seven points in the spurt, most of them off Florida turnovers.
The Gators finished with 15 turnovers, their most since committing the same number in Knoxville last month.
The Volunteers protected the ball a little better.
The biggest difference was Florida's depth. With a short bench, the Gators had few substitutes and no real chance to press and try to force tempo.
Tennessee took advantage, taking the ball right at Patric Young and finishing with 36 points in the paint.