Liverpool came from behind to comprehensively beat Chelsea.
The reds conceded a poor goal just four minutes into the game before responding in a manner unseen by the reds in a long time to beat the Premier League champions 3-1.
Coutinho cancelled out Ramires goal in almost the final kick of the first half, before Benteke - a second half sub for Milner - created another chance for the Brazilian before firing in Liverpool's third and putting the game to bed.
Mourinho, the under pressure Chelsea boss, was left with 'Nothing to say' after the game but Liverpool fans will have plenty as Klopp registers his second win of the week and is now unbeaten in his first five Liverpool games in charge.
Benteke was named on the bench after missing the midweek cup game but Origi was left out of the squad after his 3 games in 8 days.
Coutinho returned to the starting line up alongside Firmino and Lallana.
In the 4th minute Milner allowed Azpilicueta too much time down the left hand side. His cross into the box took a slight deflection off the head of Adam Lallana allowing Ramires to head in.
But Liverpool refused to let their heads drop and worked tirelessly to implement the new managers tactics. Liverpool dominated the majority of the half and Chelsea never got another shot on target.
Firmino had a number of chances but his shots didn't give Begovic too much trouble. Lallana also was involved often while Coutinho was struggling to make an impact.
Shortly into the 48th minute the reds finally got the goal they were well worthy of.
Coutinho twisting around players at the edge of the box and unleashing a left footed curler into the net. Cue celebrations from the trinity of players, manager and supporters.
Second half and Chelsea showed immediate promise but normal service was resumed within 3 minutes as the reds appeared to sense that the three points were there for the taking.
Substitution time arrived: Benteke replaced the disappointing Milner - with Skrtel taking the captains armband.
A ball up from Sakho was headed down by Benteke, moved through Lallana before Coutinho collected. This time he turned the other side and fired in with his right foot to give the reds the lead.
Chelsea were on the ropes and Benteke was about to put them on to the canvas.
Another ball was pushed towards the big man and he took his time, moving through the penalty box before smashing it past the Chelsea keeper.
An ashen faced Mourinho slumped back into his chair whilst Liverpool fans taunted the opposition boss.
The reds saw out the game in comfort - with Ole's greeting many of Liverpool's passes and time for a double rendition of You'll Never Walk Alone.
There were some moments of controversy - Diego Costa, again, might get punishment post game rather than during it for a stamp aimed at Martin Skrtel's chest. At the other end Chelsea will claim Lucas should have received a second yellow card. All of this however fails to gloss over the fact that the reds were simply far better than the blues.
Liverpool mount their first impressive comeback for what seems like an age and get a valuable three points, Klopp's first league win in three attempts.
The reds are now unbeaten in 11 games in all competitions, but more importantly now appear to have a gameplan.
There is no let up for the new Liverpool manager who now takes his side to Russia for a Thursday evening clash against Rubin Kazan.
Well done Liverpool.