McCoy completed his first 11 passes and produced touchdowns on the third-ranked Longhorns' first three drives, helping to put the Tigers away early in a 41-7 victory on Saturday night.
McCoy matched his season best with three touchdown passes, two to Jordan Shipley, and Texas' defense blocked a punt for a score in a nearly flawless first half that produced a 35-7 lead.
"Colt has had a very tough year," Texas coach Mack Brown said. "He's been sick, he's been hurt, but he's tough. We've got the Colt of old back now and ready to make the stretch run."
McCoy's on-target performance helped Texas win its 11th in a row overall and he's 39-7 overall at Texas, tying Tennessee's Peyton Manning for second in career major college victories.
"It's amazing what not being sick will do for you," said McCoy, who was 26-for-31 for 269 yards with an interception. "I felt great out there tonight. The weather was awesome."
Temple native Shipley had seven catches for 108 yards, his fourth 100-yard game this season, with scoring catches of 8 and 13 yards.
The Longhorns (7-0 overall, 4-0 Big 12 Conference) beat Missouri for the sixth straight tile and Blaine Gabbert was held to 84 yards passing and a touchdown before getting pulled late in the third quarter.
"Just a lot of mistakes," Missouri coach Gary Pinkel said. "I don't care if it's the New England Patriots, I expect them to play better than that."
The Tigers (4-3, 0-3) have opened conference play with three straight losses for the first time since 2002.
