Liverpool’s early play brimmed with energy as Firmino, Mohamed Salah and Mane combined with menace.
Salah twice threatened the Burnley goal. The Egypt international struck the right post with a curling effort and then brought goalkeeper Nick Pope off his line to narrow the angle.
Burnley’s defence initially stood firm as they matched the visitors’ intensity, only for a curious goal to give Liverpool the lead.
On a familiar foray forward, right-back Alexander-Arnold curled a high ball into the box that was intended for the run of Salah at the back post. However, a slight deflection off Wood’s back deceived Pope and the cross sailed over his head into the left corner of the net.
The Liverpool defender’s sheepish smile as he celebrated emphasised the fortuitous nature of the opener, ultimately deemed a Wood own goal.
Liverpool’s second shortly afterwards owed more to their ruthlessness after Ben Mee misplaced a pass which was seized upon by the press of Firmino.
The Brazil international burst forward and slid the ball into the path of Mane who calmly slipped it past Pope into the right corner of the net.
The impressive Firmino notched Liverpool’s third, to rubberstamp victory, when he started and finished off a counter-attack with 10 minutes left.
Liverpool’s flawless start to the Premier League season continued against Burnley as they clinched a record-setting 3-0 victory at Turf Moor.
An own goal from Chris Wood and strikes from Sadio Mane and Roberto Firmino – his 50th for the Reds – delivered a 13th successive league win, a new club all-time high.
Jurgen Klopp’s side have been victorious in all four of their opening league fixtures and are two points clear of defending champions Manchester City at the top of the table.