Youngster Anthony Elanga netted his first goal for the senior team with a fine headed finish, before Nelson Semedo levelled for the hosts.
VAR intervened on the stroke of half-time when Donny van de Beek was tripped by Romain Saiss and referee Mike Dean pointed to the spot after checking the pitchside monitor.
Juan Mata coolly dispatched the penalty to give the Reds an excellent victory on the final day of the Premier League.
FIRST HALF - ELANGA AND MATA ON THE MARK
With Wednesday’s Europa League final very much in mind, Ole made a raft of changes to his starting XI and brought in a number of players who needed some minutes and gave opportunities to a couple of youngsters from the start, namely Amad and Elanga.