"I was very proud of our players and just the overall way that they played the game," said OU head coach Bob Stoops.
OU started off slow, managing only a 33-yard field goal in the first quarter, but Stevens hit another field goal on the first play in the second quarter, this time from 26 yards out, and the offense got rolling after that.
After CU got on the board with a field goal of its own, Jones found Broyles again, this time for an 81-yard touchdown reception, which was the longest for both players in their careers, making it 20-3 Sooners.
Moments later, the Sooners scored unconventionally when Javon Harris blocked a CU punt through the end zone.
And Jones recorded his third touchdown pass of the evening when he found tight end James Hanna over the middle of the field for a 7-yard score to make it 29-3 at the half.
"He's a great quarterback," Stoops said. "He's more than pretty good and he'll only keep getting better. And again, I think it's fair to say that the guys around him have to play well, but that's the case for any quarterback. We couldn't be more happy and pleased with how he's progressing and playing."
It didn't stop there.
OU tacked on another touchdown, extending the lead to 36-3 when Jones connected with Broyles for the third time in the contest, a 64-yard touchdown pass within the first minute of the second half.
"I was having a pretty good night," Jones said. "The offense was doing well. We hit some big shots early in the game that really helped us out."
But the Sooners poured some more points on the Buffs when running back DeMarco Murray completed a 96-yard drive with 5-yard touchdown scamper to make it 43-10.
That turned out to be the last points of the contest.
Broyles broke the OU all-time record for most receiving yards in a game when he caught a 5-yard pass with less than two minutes remaining in the third quarter, and he finished with 208 yards on nine receptions.
"Ryan Broyles is just spectacular and continues to be with the big plays that he's able to make," Stoops said. "He just has such a knack for going for the ball and getting open."
OU outgained the Buffaloes 635 to 263.
Jones finished 32-of-46 for 453 yards and four touchdowns.