Hee Chan Hwang's effort was diverted into his own net by Joel Matip before debutant Craig Dawson doubled the advantage for Julen Lopetegui's men inside the first dozen minutes.
Ruben Neves put the finishing touches to the three points late on as he connected with Adama Traore's cross to earn Wolves their first win over the Reds at Molineux since they returned to the top-flight in 2018.
But what can you remember from the previous Premier League meetings from the last five seasons? Take the latest Wolves Trivia quiz and let us know how you got on #WolvesTrivia.