Goals from Bryan Mbeumo and Harry Maguire ensured a hard-fought victory for Ruben Amorim's side, who were asked to dig deep for large parts of the contest.
Cody Gakpo did level the game with 78 minutes on the clock, but it was to be the Reds' day, earning a first win at Anfield since 2016.
That result was met with wholesale admiration from our traveling fans, as United jumped to ninth in the early-season table.
FIRST HALF
It took Ruben Amorim's side just over a minute to open the scoring on Merseyside, with Virgil van Dijk colliding with his own man to leave the home side one short.