Daniel Sturridge marked his Liverpool comeback with the winning goal as the Reds defeated West Ham 2-0.
Before Sturridge's winning goal, Raheem Sterling had put the Reds ahead at the beginning of the second half with a well taken goal. The move started down the left flank as Alberto Moreno advanced and chipped a pass towards Sterling who chested down superbly to Philippe Coutinho.
The diminutive playmaker was forced awkwardly away from goal but somehow managed to hook the ball back into the path of Sterling's run with a 'no-look' pass, allowing Sterling to slot the ball past Adrian.
The first was Jordan Henderson who shot straight at Adrian after Sterling worked hard to create the opening.
Sterling then worked his magic with Coutinho in what was the move of the match, although Adrian was on hand to save Coutinho's low drilled shot from the left side.
And just on the stroke of half-time, Markovic could not make the most of a reckless pass by Downing as he broke into the box and then shot wide. In the build-up to the chance, Liverpool had penalty claims waived away as Sterling tussled with O'Brien.
West Ham did manage to get the ball in the back of the net towards the end of the game, although it was ruled off for a foul during a set piece.
In what was a thoroughly disappointing performance, Sam Allardyce will be concerned by injuries picked up during the game. Andy Carroll, James Collins and Winston Reid were all taken off with injuries - Collins and Reid being the most concerning considering James Tomkins' injury leaves them without a recognised centre back.
Likewise, Brendan Rodgers spoke highly of Sturridge and Coutinho, as well as the resiliency of his players to overcome Tuesday's disappointment: "Daniel Sturridge is a top class player, he has shown that in his career so far. He worked very hard and the first opportunity that came his way he took. It was a wonderful pass by Philippe Coutinho.
"We were obviously disappointed in midweek with the result at Chelsea in the Capital One Cup. We knew coming into today it was going be a tough game. West Ham have done great this season, but we had to win the battle and compete, fight and press. My players did that magnificently well. Maybe we could have had more than two goals."