Manziel burnished his Heisman Trophy credentials with the performance, which included 263 yards on 14-of-20 passing and 102 yards on 16 carries for the Aggies (9-2).
The signal-caller became the first freshman in college football history to throw for 3,000 yards and rush for 1,000 yards in a single season as Texas A&M won its fourth straight.
Mike Evans hauled down six passes for 80 yards and two touchdowns for the Aggies.
The Bearkats (8-3) were led by Brian Bell, who compiled 151 yards, one touchdown and one interception on 14-of-30 passing.
Yosemite climber falls 30 feet, suffers major injuries
Lytro unveils camera that can focus a photo after shooting it