Review ShowMan Utd 0-3 Liverpool analysis: 'Salah's record at Old Trafford is just incredible'
Salah set up each of Luis Diaz's two goals for the Reds during the first half on Sunday, and then extended his own scoring record against United.
By converting a first-time effort from Dominik Szoboszlai's assist, the No.11 increased his tally in the fixture to 15 goals, more than any player in club history.
In his regular post-match Review Show, which is now available to watch on LFCTV GO, former Liverpool striker Mellor provided his analysis of a memorable display.
"It was absolutely magnificent, wasn't it, to beat Manchester United away, we were too good for them," reflected Mellor.
"Salah is the first player to score in five straight [away] appearances against Manchester United in the Premier League, he has got 10 goals at Old Trafford in nine appearances, which is just incredible.
"He's also scored or assisted 17 of Liverpool's last 23 Premier League goals against Manchester United... Salah loves playing against Manchester United!"
Mellor also highlighted the influence of Liverpool captain Virgil van Dijk, who led by example at the back.
Arne Slot's charges chalked up a third successive clean sheet to kick off 2024-25, having previously shut out Ipswich Town and Brentford.
"Virgil was absolutely magnificent," he added. "He dominates his own penalty area really well, he won every one of his aerial duels, he is a real leader."
NewsLFC donates more than £590k to support apprenticeships and job creation in Liverpool City Region
VideoWomen's League Cup highlights: Newcastle 1-6 Liverpool
NewsWSL: Liverpool v Brighton fixture rescheduled
FeatureIn stats: How Mohamed Salah scored 100 LFC goals away from Anfield
StreamTuesday: Watch Liverpool's pre-Real Madrid press conference live