The Egyptian, who provided the assist for Emre Can's opener and also hit the post, later finished off some excellent work from Alex-Oxlade Chamberlain to score the Reds' second goal.
Salah's 51st-minute strike inside the far post was his 20th left-footed goal in the Premier League this term - the most by any player in a single campaign in the competition's history.
The No.11 broke the record of former LFC striker Robbie Fowler, who scored 19 goals with his left foot during the 1994-95 season.
Salah has scored 31 goals in all competitions this season, with 23 coming in the Premier League and 87 per cent of those via his favoured boot.