Hundley also completed 16 of 29 passes for 226 yards and two scores.
"It was a special game," Hundley said. "We played well as an offense. We had to make adjustments. When we did, we got things going."
Hundley and UCLA linebacker Jordan Zumwalt shared MVP honors. Zumwalt had 10 tackles and returned an interception 43 yards to set up a touchdown.
"It's the best game I've ever seen him play," Mora said about Zumwalt. "He was unbelievable from start to finish.
The Bruins (10-3) outscored the Hokies (8-5) 28-2 in the fourth quarter.
After Virginia Tech cut it to 14-10 on Michael Branthover's 22-yard field goal with 3:53 left in the third quarter, UCLA answered with a 12-play, 85-yard drive, capped by Paul Perkins's 5-yard run early in the fourth.
Hokies backup quarterback Mark Leal then threw a pass under heavy pressure that linebacker Myles Jack intercepted and returned 29 yards for a touchdown that made it 28-10.
"In the second half we blocked things up better," Mora said. "We got back to doing what we do best. We played with great tempo. We were not as uptight."
Virginia Tech, which lost starting quarterback Logan Thomas to an injury in the second quarter, got its final points when UCLA punter Sean Covington stepped on the end line for a safety with 9:38 left.