The match saw the visitors come from behind to maintain their unbeaten start to the season.
Michael Laffey gave Liverpool the lead on the 11th minute, but Chido Obi equalized just before halftime for Manchester United.
Obi's impressive performance continued in the second half as his powerful shot was blocked by Liverpool's goalkeeper Armin Pesci, allowing Jaydan Kamason to score the winning goal for Manchester United on the 81st minute.
The match featured the Fletcher twins playing for Manchester United for the full 90 minutes, while Joe Bradshaw made his debut for Liverpool's under-21 team.