The Reds claimed a third consecutive win across all competitions thanks to second-half goals by Alexander Isak and Hugo Ekitike at Tottenham Hotspur Stadium.
Earlier in Saturday's game, Xavi Simons had been sent off for the hosts, who pulled a goal back late on through Richarlison before Cristian Romero was also dismissed in stoppage time.
See extended highlights and a full replay of the Premier League encounter in the videos below.
