The Reds raced into a three-goal lead in the first half thanks to a brace from Emre Can and a strike from Mohamed Salah to cap an outstanding team move.
Mark Uth pulled one back for the German club before the break, but Roberto Firmino added a fourth for Liverpool, rendering Sandro Wagner's header a late consolation.
Browse the best of the photographs from a good evening's work at Anfield in our gallery below.
Our three-game hospitality bundle for Champions League group stage fixtures will be available to buy from 1pm on Thursday August 24. All three games must be purchased together, individual games will not be on sale. Go to liverpoolfc.com/hospitality or call 0151 264 2222.