What I often forget is that Brendon Rodgers actually enjoyed a period of "Success" in his Tenure at Anfield. He's unanimously viewed as a moron, but hear me out on this one. Although he did not win a trophy, he mounted a serious title challenge that ultimately fell short in 2013/2014. The team was filled with Gerrard, Suarez, prime Sturridge. Rodgers Liverpool was, for a time, a team to fear.
Klopp has now been in charge for a similar amount of time. He has been to cup finals but is yet to lift a trophy. Trophies are expected at Anfield, and Klopp was expected to end that drought. I think this season they will push City closer than we will, but they will not win it. They might have another good run in the CL, but again, they won't win it. The statistics back Brendan Rodgers as about equal with Klopp, at least thus far. In 122 Premier League matches Rodgers had 63 wins, 30, losses, and 29 draws. He accumulated 218 points with a 1.79 points per game average.
Klopp, in 127 games has accumulated 62 wins, 39 draws and 26 losses. Be mindful that this is also after Klopp put 411.55m million pounds into the team. So the two managers are, statistically comparable at this stage.
Then we come to his Final Record. It has now been six seasons since Liverpool last won a trophy and the defeat in the CL final sees this record continue for Jurgen. He has lost 3 (!) cup finals since his takeover, and has not won one himself since the German super cup back in 2012. While I can only speculate as to why he is so poor in finals, I believe it may be because das "heavy metal football ja" leaves his teams exposed in the big finals.
While i'm certainly not saying he's crap, he's not the god of football some make him out to be.