The duo each took their personal tallies in this season's competition to eight by netting in the Reds' 2-1 quarter-final second-leg win at Manchester City.
As such, Salah and Firmino both eclipsed Steven Gerrard's club record of seven from the 2008-09 Champions League campaign.
And, following the match at Etihad Stadium, Liverpool have now plundered 33 goals in this season's tournament - the most ever by an English side, surpassing Manchester United's record of 32 set during 2002-03.
FC Barcelona lead the all-time list, with 45 goals scored during their 16-game run to the semi-finals in 1999-00; an average of 3.15 goals per game.
Under the current Champions League format, Real Madrid are the most prolific side. They found the net 41 times in a 13-match run to the 2013-14 final - averaging 2.81 goals per game.
Klopp's Liverpool currently average 3.3 goals per game and are one of only two teams in Champions League history to score seven goals in a match twice in one season.
The Reds beat both Spartak Moscow and NK Maribor 7-0 during the group stage to equal a landmark set by Bayern Munich in 2014-15.