The Nigerian international winger was making his European debut for the Champions League holders and saw 65 minutes of action until he was taken off for Eden Hazard.
Moses became a torn on the flesh of the host early in the game after the home side gave the ball away to Chelsea from an early throw-in and Moses back heeled a pass to Oscar, who’s shot across goal went narrowly wide.
Shortly after, Oscar crossed the ball to Moses at the far post but, just as the winger appeared set to nod the ball in, Nordsjaelland centre-back Jores Okore flung himself across to force the effort against the post.
The man of the match was however two-goal hero Mata. The Spanish midfielder opened scoring in the 33rd minute after being put through by Frank Lampard.
Chelsea's second goal did not come easy as the home side battled for an equalizer which never came, and must have been demoralized when a direct free-kick in the 79th minute by David Luiz went straight into the net, in a game whose score line was not a true reflection of what went down on the night.
Mata grabbed his second three minutes later to make it 3-0 for Chelsea, before Ramires completed the rout by tapping in Oscar's pass.
The other Nigeria in the Chelsea team John Mikel Obi came on as an 83rd minute substitute for Mata.