Headers late in the first half from Divock Origi and Mamadou Sakho tipped the Premier League clash at Anfield firmly in the Reds' favour.
Then Daniel Sturridge, on as a substitute, brought up his half-century of goals for the club with an instantaneous touch and finish from Lucas Leiva's threaded pass.
And Philippe Coutinho rounded off an impressive night for Klopp's men with a trademark swipe into the bottom corner from the edge of the penalty box.
See the best of the action from the April 20, 2016 encounter below...