McCoy completed his first possession with a 27-yard touchdown pass to receiver Josh Cribbs and also capped another drive with a 37-yard TD strike to tight end Benjamin Watson.
Watson hauled down a pair of passes for 56 yards and Peyton Hillis carried the ball five times for 16 yards and a touchdown.
Aaron Rodgers went 6-for-8 passing, gaining 74 yards and firing a touchdown for the Packers.
Green Bay's Ryan Grant, playing his first game since the 2010 season opener due to an injury, ran the ball three times for 13 yards.
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