So, Alan...
Luis Suarez scored 15 league goals in 44 games before BR arrived yet 54 in 66 during BR's reign. That's a massive difference not just down to him behaving himself. Do you really think the transition from the Downing/Carroll direct football to BR's Coutinho/Sturridge pass/move alternative had nothing at all to do with this huge improvement? No-one said Suarez wasn't a good player pre-BR but Rodgers' system and team got the very best out of him. And to be honest, I didn't see any change in the way Suarez approached the game throughout his Liverpool career - 100% committed and not averse to the darker arts - you can ignore the latter if you want but surely you must be in a massive minority. Stop bringing up the Evra incident because frankly it's embarrassing - I'd rather focus of Suarez's undoubted genius which BR certainly exploited better than those before him.
Even Luis Suarez himself has some great things to say about BR that conflict with what you say - he evidently had a big influence on the Uruguayan.
As for 2014/2015 and beyond for BR, the performances were shocking for the most part when compared to the previous season. Again, few would argue with that. However, it was solely not down to the manager. Some players played with their chins on their chests because of the crushing disappointment of just missing out the previous season - Gerrard was clearly affected and BR was in a difficult position had he (rightly) dropped him due to his poor form. His legs and his head had gone sadly.
The key thing, though, was our impotence in front of goal. I refuse to believe BR wanted Balotelli (his comments on the player before we signed him made that clear) and Mario HAD to succeed since Suarez had left. To compound that, Sturridge spent virtually the whole season injured and we had therefore to rely on our 3rd and 4th choice strikers often (one of which BR wanted rid of but refused to leave so wasn't replaced).
We never looked like scoring and as the season wore on, the players stopped believing they would. It was not a motivational thing - the players just weren't good enough mentally and/or technically. This was no more evident than in Europe - in the CL games we should have won (Basel notably) we were simply impotent. The much criticised lineup away at Madrid conveniently skips over the fact the players left out were totally abject in the 0-3 defeat at Anfield.
So do you really think our striker woes (last season and at the beginning of this) had no bearing on our dip in form? To lose Sturridge (again) and Ings was hardly BR's fault.
Brendan Rodgers had his faults but you seem to want to give him as little credit as you can get away with and accentuate the negatives by telling half a story.
Personally, I'm grateful for what he's done. We reverted to a much better style of football and he improved some players and got the best out others (Suarez and Sterling) thanks to his system. He promoted youth and gave us the best season we've witnessed for years. His downfall was partly self-inflicted and partly down to circumstance.
Klopp has inherited some of the same issues but hopefully will have better luck and control in terms of incoming players. He's universally popular in the media (it seems) with only a small percentage of bitter rival fans and knee-jerking Liverpool fans casting major doubts. I was skeptical at first due to his final Dortmund season but what I can see on and off the pitch has convinced me he can take us forward.
I wish BR all the luck in the world at Celtic - he's a great student of the game and will dust himself down from the Liverpool experience and learn from it.