Liverpool 5 - 0 Swansea
Liverpool, who in three previous Premier League meetings with Swansea had failed to score, made all the running from the kick-off.
The first goal came via penalty in the 34th minute as Suarez was needlessly pushed by Kemy Agustien and Gerrard, who had missed a penalty in the defeat by West Brom last Monday, made no mistake from the spot.
The hosts doubled their lead almost immediately from the second-half kick-off as Coutinho, taking advantage of the Swansea defence not going in for the tackle, saw his shot go under Vorm and into the net.
The hosts added a glorious third in the 50th minute as Luis Enrique finished off a beautiful passing move involving Coutinho, Suarez and Sturridge.
Swansea had completely capitulated and Suarez added a fourth six minutes later with a brilliant individual effort and soon after Rodgers decided Coutinho had done more than enough on his debut and took him off.
Sturridge was also a vibrant presence and Vorm had to be at his best to keep out a stinging effort but he deservedly did get his name on the scoresheet with a penalty in the 71st minute awarded for a handball by Wayne Routledge.
Read our full match report here.