After a competitive start at Anfield, Egypt forward Salah curled high into the net from 18 yards, punishing Dusan Tadic for losing possession near his own area.
The strike gave the home side added swagger and a fine Philippe Coutinho threaded pass picked out an expertly-timed run as Salah prodded the second.
No Premier League player has more goals in all competitions than Salah’s 14 this season and though he was quieter after the break, Coutinho picked up the mantle to stab home when Roberto Firmino’s show was saved.
In all, Liverpool had 21 shots at goal and mustered a dominant win without ever looking like they were at full throttle.
But they are the only side to find the net three times against Mauricio Pellegrino’s team this season and now sit fifth in the table, a point behind Tottenham in fourth.
