The Reds, who welcomed back Philippe Coutinho to their starting XI, had 35 shots on Burnley's goal but were made to settle for a point, with Mo Salah's strike swiftly cancelling out Scott Arfield's 27th-minute opener.
"It's tragic to see the way they concede goals, a club that has the ambition to win the Premier League title can't allow certain kind of goals".
The hosts quickly managed to regather shortly after via Mohamed Salah, but the scoreline remained unchanged with the result seeing Burnley jump past Liverpool in the Premier League standings. Sean Dyche, meanwhile, can reflect on yet another impressive point on the road. The Egyptian controlled Can's flawless through ball and smashed it into the net to bring the Reds back into the game again.
"It's our fault. We are responsible for the things that happen to us", the German said afterwards, and as was the case in the 2-2 Champions League draw with Sevilla in midweek, they were their own worst enemies.
One mazy Joel Matip run nearly did the trick, but when the centre-back slipped in Salah, the Egyptian was tripped by James Tarkowski. From the first whistle, Burnley had looked to do just that, with Nick Pope taking an age on goal kicks and similar happening at throw-ins and every other opportunity. Against Burnley they may face one of their most challenging tests yet in the form of Chris Wood.
Liverpool celebrated the 125th anniversary of their first ever game with mosaics around Anfield and a roll-call of former luminaries but more contemporary problems re-emerged to douse the party spirit against Burnley.
With Burnley managing only four shots in total at Palace's goal, half of them being off-target, a lack of creativity afflicted the Burnley performance. As one of the only players to prove a real threat against Manchester City before his early substitution from the game, Salah has already shown his standard, but now has the challenge of maintaining this level for the remainder of the season.
The loss dropped Liverpool to eighth in the league table, but they are only three points off leaders Manchester United.
"He needs rhythm", Klopp said. Going to places like Anfield where we have played a few times now is not something new for us.
Liverpool's defense isn't very good.
We were unlucky there past year, we took the lead and had them on the back foot for most of the game.
Wave after wave of Liverpool attack hit the Burnley box for the remainder of the second half.