The brouhaha came after a high-scoring first quarter in which the Hurricanes allowed 21 points to Iowa State. The Cyclones won the game, 42-41.
The Hurricanes did not want to play Saturday. They had controlled their own destiny heading into the College Football Playoff, but after losing to Syracuse in the final week of the season, they were knocked out of the ACC title game, and eventually, the tournament.
Becht finished with 270 passing yards and three touchdowns for Iowa State (11-2), a program that entered this season having never won more than nine games in a season.
Senior Simeon Barrow Jr. and freshman Marquise Lightfoot were separated after Barrow Jr. threw a punch and Lightfoot shoved Barrow.
But there appeared to be an incident during the game Saturday between two Miami Hurricanes that led to blows.
The Associated Press contributed to this report.
Cam Ward, a likely first-round selection in the NFL Draft, only played in the first half, exiting the game after Miami had regained a 31-28 lead before halftime.