The game ended with the score 3:0 in favor of the hosts.
As part of the winners, goals were scored by Dawson (12th minute) and Ruben Neves (71st).
Joel Matip chalked up an own goal (fifth).
Wolverhampton are 15th in the Premier League with 20 points.
Liverpool are in 10th place with 29 points.
Earlier it was reported that Everton won in the first match after the dismissal of Frank Lampard.