The Reds were hoping to keep pace with Premier League leaders Manchester United after Jose Mourinho’s side were 2-0 winners against Southampton on Friday night.
However, Burnley striker Sam Vokes beat Liverpool goalkeeper Simon Mignolet in the second minute to put the Reds on the back foot at Turf Moor.
Andre Gray added the home side’s eight minutes before half-time to give Sean Dyche’s side a two-goal cushion ahead of the half-time break.
Liverpool registered 26 shots on goal but the Reds could only direct five of those on target as Klopp’s side struggled on Daniel Sturridge’s return to the starting line-up.
However, Klopp vowed that his Liverpool side will learn from their mistakes against the Clarets after a disappointing first defeat of the Premier League season.
“Our decision making was not good. We’d put in a good cross but there were no bodies in the box and then when we had bodies in the box we ended up shooting,” Klopp told BBC Sport.
“The season is still pretty young. It doesn’t look like we are 100% fine tuned. But it’s only the start of the season and I can see a lot of good things. The lesson here is don’t give the ball away like we did twice today. We will work on it 100%. We need to have a plan for deep defending teams. We have a few things to do – that is clear.”
The Reds finished in eighth place in the Premier League table last season after Klopp replaced Brendan Rodgers at the Anfield helm in October.
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