It took just 52 seconds for the Championship outfit to inflict more misery on Jurgen Klopp’s out-of-sorts side, with a free-kick whipped beyond a statuesque Reds back line allowing Richard Stearman to nod home.
Things got even worse for the hosts four minutes before half-time when a Wolves breakaway freed Andreas Weimann to waltz around Loris Karius and fire into an empty net.
Liverpool threw on Philippe Coutinho at the break and did offer more of a threat in the second half.
Divock Origi pulled one back late on but the Reds were unable to break their struggles at the start of 2017 and must now focus all of their attention on a fading Premier League title challenge.
Who was your man of match?