Pep vs Klopp - I was gonna say give the guy time cause Klopp has been here longer.
But then there is Conte. So there goes that argument.
We have to look at things from a fair perspective here. Without taking credibility away from Conte and Klopp they both are use to working with less talent and thus have an advantage in that department, there is no doubt Pep has had superior talent in the past and with City there is a big drop, you can't have Glitchy/Sagna/Zab/Kolarov doing things you had Alves/Lahm/Alaba doing, likewise Stones/Ota doing what Pique/Puyol/Abidal/Boateng/Kimmich/Masche were doing, same as Bravo compared to Neuer/Valdes. Likewise with Aguero can't do what Villa/Messi/Lewa did for him and this is were he gets hit. because that's what he's trying to do.
Chelsea the previous season (before Mou final season) were league champions, so they don't have duds in their squads and this season without CL football and many players trying to make up for last season failures they have the motivation, just like BM in Jupp last season getting their arse handed to them by Dortmund and losing a CL final at home, gave them a kick.
This game against Liverpool wasn't good at all and not much separated the two sides, Pool only had one shot on target the entire game and defend for majority of it.
However Pep transfer this window were poor, he needed to strength his back line were he failed at the end, also his constant tinkering. City won 10 games in a row, drew the 11th and lost in 12th, so they had things going there way trying to fit Gundo in midfield with Silva and KdB has hit them hard and then playing a back 3 also due to it, didn't help. City went 10-1-1 in their first 11 games, they went 2-0-0 when they went back to a back 4 and now they're 3-0-1 with a back 4, so it's clear the back 4 works best, Pep just needs to learn to stick with that.
Pep did tinker with us, but nowhere near the amount I've seen him do at BM and now City. Perhaps it's his fear of being found out or wanting to change things to keep his opponents guessing.