Last week was the first ever European meeting of the north-west giants - the first leg of a last-16 tie which Jurgen Klopp's men won 2-0 at Anfield.
The match was somewhat overshadowed by unsavoury chants from the away end, with sections of the travelling support heard singing about the Hillsborough disaster on several occasions.
A crush during the 1989 FA Cup semi-final between Liverpool and Nottingham Forest, in which 96 people were killed, was the subject of chants referencing media coverage at the time.
However, a UEFA spokesperson has confirmed United will not be punished for the incident.
The chanting was not mentioned in the match officials' reports, additional reports included, so no disciplinary proceedings have been opened as a result.