They are both great managers, but their remits are different, Pep is tasked with going into a club and winning straight away, whereas Klopp, is afforded the time to make gradual improvements, to get to the same outcome 'winning trophies'. The reason why Pep comes unstuck by Klopp, is because Klopp is about efficiency, whereas Pep is about asthtetic beauty.
Pep teams win the ball and the underlying idea is to recycle it from deep [pass, pass,pass] and thus domnate possession, when Klopp's team win the ball, it forms part of their make up to the team creating chances.
What Pep finds it hard to understand is how a team can have such few chances and produce end results, and especially against Liverpool as with Klopps Dortmond, Pep is extremely weary of Klopps teams abilty to transistion at speed.
Where Pep's teams require players with high creativity, Klopp on the other hand require players who are highly analytical, where both share similarities is players they buy temd to be good decision makers and hard working.