In other results, Chelsea thumped the Shrews and WBA were knocked out by Bournemouth.
Liverpool manager Brendan Rodgers praised Mario Balotelli for "working hard and doing his best."
Real Madrid showed their superiority in their first-ever win over Liverpool in the Uefa Champions League.
Liverpool will host Real Madrid at Anfield in tonight's Uefa Champions League Group B match.
Liverpool needed the help of two own goals for the win that lifted them to fifth in the table.
Adam Lallana and Jordan Henderson scored as Liverpool registered their first Premier League win.