Guardiola's side won a late penalty only for Riyad Mahrez to send the ball flying into the sky.
"Now the players go off and play the Nations League which is the most senseless competition in the world of football", said Klopp, who urged the soccer authorities to look at the issue of players being overused.
It has become something of an insult in the modern game to accuse a team of "parking the bus" when they emerge with their goal unbreached and intact.
It resulted in the first goalless draw between these two at Anfield since 1986 - and also City's first clean sheet at the ground since then - but Reds boss Jurgen Klopp will be celebrating Monday's third anniversary at the club as the happier manager.
And to match City, Liverpool must be ruthless against "lesser" opponents. Before the season started I thought United and Liverpool would both be close to City this time.
Liverpool still have not conceded a Premier League goal at Anfield this season, or indeed since last February.
"I've missed a few, but it is part of football", said Mahrez.
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"Mahrez hasn't hit the ground running at Manchester City - he's not been fantastic since joining and he's fighting with some really good players to get into the team".
It was particularly tough to take for Jesus, who was keen to take the penalty only to be ushered away by Mahrez, who has missed five of his past eight penalties.
Guardiola apologised to Jesus afterwards and the 21-year-old Brazil worldwide insisted he felt confident to take the penalty.
"It was not smart from me personally and hopefully it will never happen again", he said.
'We made it hard for them and they made it hard for us at times but that's how it is.
The manner in which both teams pressed each other didn't lead to the goal fest many predicted, but it made for a very tight, tense and intense match. Unlike last season, Klopp could not call on Alex Oxlade-Chamberlain to penetrate City with runs from midfield due to the former Arsenal player's long-term knee injury lay-off. After a tough trip away to Napoli in the Champions League where the front three just didn't click, Liverpool again looked quite boring in attack.