Liverpool came from behind to see off Burnley at Turf Moor in the English Premier League on Wednesday evening.
The host broke the deadline in the second half through Cork after Alisson could not gather the ball following a corner but Jurgen Klopp's side hit back with three goals.
James Milner equalised with a superb low finish from the edge of the box and Firmino who came emerged from the bench tapped home Virgil van Dijk's athletic cutback.
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Xherdan Shaqiri put the icing on the cake for Liverpool with a clinical counter-attack goal moments after Alisson had saved superbly from Ben Mee.
The results mean Liverpool are two points behind Pep Guardiola's side after 15 games.