The Egypt international had already witnessed Ethan Pinnock and Diogo Jota find the back of the net at the Brentford Community Stadium before his finish - which was initially ruled out for offside.
After a review, Salah's goal was ultimately awarded as he notched up his 100th top-flight strike for Anfield giants, which he has achieved in the quickest time in the club's history books.
The former Chelsea and Roma man has taken just 151 top-flight games to hit the 100-goal mark for Liverpool, seeing him break the record previously held by Roger Hunt, who achieved the feat in 152 games.
However, Salah preceded to miss a gilt-edged chance to put the tie to bed in the second half, with Curtis Jones, Vitaly Janelt and Yoane Wissa all netting afterwards in a pulsating 3-3 draw.
The 29-year-old nevertheless scored for the fourth Premier League game running and now boasts a total of 130 strikes in 209 appearances for Liverpool across all competitions.