Mauk completed 17-of-28 passes for 203 yards and hit Henry Josey for a 6-yard TD in the Tigers (9-1, 5-1 SEC) second straight victory.
Josey ran 86 yards for a TD in a 113-yard performance.
Jalen Whitlow ran for 44 yards and threw for 225 to lead Kentucky (2-7, 0-5).
The Wildcats, who lost their 13th SEC game in a row, had a rushing TD from Raymond Sanders in the third quarter that reduced Missouri's lead to 35-17.
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