The first play from scrimmage for Luck -- the first overall pick by Indianapolis in the 2012 NFL Draft -- resulted in a 63-yard touchdown run on a screen pass to Donald Brown.
Later in the first quarter he connected with Austin Collie on a 23-yard score.
The former Stanford star finished the game 10-of-16 through the air.
Isaiah Pead picked up 33 rushing yards and Steven Jackson added four carries for 17 yards for the Rams.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys