WACO, Texas (AP) -Shawn Bell threw for a school-record 394 yards with three of his five touchdown passes coming in the final 9:22 to rally Baylor to a 36-35 victory over Kansas on Saturday.

Dominique Zeigler scored the winning touchdown with 1:08 left, catching a pass in the left flat and getting a tremendous block from fellow receiver Trent Shelton that allowed him to leap over another defender into the end zone.

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After its third-biggest comeback ever, Baylor (4-4, 3-1 Big 12) has won three conference games for the first time and is .500 at its latest point in 10 years.

Bell finished 33-of-55, and the five TDs and his 18 this season are also school records.

Jon Cornish had a career-high 196 yards rushing, 140 by halftime. His two scoring runs just before halftime put Kansas (3-5, 0-4) ahead 35-17.

Cornish had a 24-yard run on the first play of the second half, and receiver Marcus Herford then overthrew a wide-open receiver in the end zone on a trick play before Scott Webb was wide right on a 42-yard field goal attempt on that same drive.

Those missed chances proved costly for Kansas, which a week earlier blew a 17-0 lead in a 42-32 loss at Oklahoma State.

Bell hit Shelton for a 42-yard TD to start Baylor's comeback. After Kansas punted, Zeigler caught a 60-yard pass to set up Paul Mosley's 4-yard TD on the next play that got the Bears within 35-31 with 4:48 left.

With Adam Barmann at quarterback after Kerry Meier was apparently hurt on the final play of the third quarter, Kansas was unable to pick up a first down and punted. The Bears took over at their 42 with 2:43 left.

On the play before the game-winning TD, Zeigler made an incredible stretching catch along the sideline, managing to drag his foot inbounds for a 13-yard gain on third-and-10. The play was reviewed and upheld.

Zeigler had seven catches for 122 yards and Shelton caught six passes for 104 yards and two touchdowns.

Meier never returned after he took a hard shot on the sideline at the end of an 8-yard run on the final play of the third quarter. It wasn't immediately clear what happened, but Meier missed three games earlier this season because of a shoulder injury.

Meier was 6-of-11 for 62 yards and a TD, and ran for 62 yards and a score.

Kansas has lost all three of its Big 12 trips to Waco, the others in 1998 and 2002 that were the bookends to Baylor's 29-game conference losing streak. The Jayhawks are 1-17 in conference road games under fifth-year coach Mark Mangino.