Rodgers made one change from the Zenit win with Phillipe Coutinho replacing Jordan Henderson and in his first away game for the Reds he made a quick impact as from a Reina long ball, he flew by Boyce and crossed into the box for Downing to head in to give Liverpool the lead inside two minutes.
Wigan's task got even harder in the 18th minute as Coutinho again assisting slipped a ball through to Suarez who slotted home past Al Habsi to double the advantage.
Boyce could have reduced the deficit with an acrobatic effort which Reina superbly kept out and the failure to beat the Spaniard soon proved costly as with 11 minutes until the interval, Liverpool went three goals clear as Suarez fired a long range freee-kick towards goal and a deflection from Maloney sent it into the net.
The last action of the first half saw Di Santo drive a header towards goal but yet again Reina's acrobatics pushed the ball onto the roof of the net and Liverpool went in happy that the game was now in their control.
That control was increased barely four minutes into the second half as Suarez completed his hat-trick as Johnson's surge down the right side allowed him to play a ball into the box for the Uruguayan and he swept home past Al Habsi,
At 4-0, surely the game was won and it was a case of how many more could go in if Wigan's defence failed to improve but it did and they kept Liverpool out with the biggest reception of the afternoon coming in the 70th minute as Coutinho left the field for Henderson and the Brazilian received a rapturous applause from the travelling fans.
Liverpool pushed for a fifth but it didn't surface and the score settled at 4-0 leaving Wigan with work to do before their next game against Everton in the FA Cup and give Liverpool massive confidence for their next game against Tottenham who also play on Thursday, so Liverpool will be far fresher and hopefully that will give them a better chance of victory.