Xherdan Shaqiri (right) scores on his first start of the season for Liverpool. (AFP/Paul ELLIS) |
All but one of the goals came before half-time as Origi and Xherdan Shaqiri, who replaced the rested Roberto Firmino and Mohamed Salah, put Liverpool 2-0 up inside 17 minutes.
Michael Keane pulled a goal back for Everton before Origi got his second and Sadio Mane finished off a blistering counter-attack to make it 4-1.
The scoring did not stop there as Richarlison cut the deficit once more, but Georginio Wijnaldum hammered the final nail in the Everton coffin as an eighth defeat in 11 league games sees the Toffees slip into the bottom three.
"All the goals were incredible," said a delighted Jurgen Klopp, who made five changes in total. "Wonderful goals, sensational passes, super pieces of football. I loved it a lot."
Klopp insisted this fixture remained the "standout" one in Liverpool's season despite the massive points difference between the sides at either end of the table.
However, the German's actions spoke louder than words as he could afford the luxury of leaving out Firmino and Salah at the beginning of a hectic month for the Reds in three competitions.
"We needed fresh legs and I had to show my respect to the boys in the squad," added Klopp. "They proved it. It is much more fun making changes, all of the boys are ready to deliver performances like this."
Origi scored the 96th-minute winner when the sides met last season at Anfield and proved his worth with a calm finish to round Jordan Pickford and slot into an empty net after a sensational pass from Mane cut Everton open.
Shaqiri was making his first start of the season, but also showed no signs of rustiness in front of goal by finishing off another Mane assist on his trusty left foot.
"My biggest dream is to win the title with this club and give it to the fans," said the Swiss midfielder.
"We have to focus on the pitch, stay grounded and work hard every day. If we win, it will be amazing, but we still have a long way to go."
EVERTON MISTAKES 'NOT NORMAL'
At the other end, Liverpool were without the suspended Alisson in goal and looked poor at the back all night as their long wait for a clean sheet at Anfield this season continued.
Keane took advantage of a slip from Dejan Lovren to lift a delightful finish over Adrian to briefly breathe new life into Everton.
That was extinguished on the half-hour mark as Lovren made amends with a brilliant ball over the top which Origi cushioned into his path before lobbing Pickford.
Liverpool then struck again from an Everton corner as Trent Alexander-Arnold led the charge from one end of the field to the other before squaring for Mane to curl into the bottom corner.
Under-fire Everton manager Marco Silva had made a substitution just 35 minutes in to try and turn the tide with Bernard replacing Djibril Sidibe and the Brazilian made an impact as from his cross the ball came off Richarlison's shoulder to leave Adrian helpless.
But Silva must now wait to see if he is offered another stay of execution by the Everton board ahead of Chelsea's visit to Goodison on Saturday.
"I am not the right person to answer about the situation, this question is for different people," said Silva over growing calls for him to be fired.
"The type of mistakes we are making is because the players are playing under big pressure because of the position in the table. They are making some mistakes that are not normal for the level we are."
English Premier League results:
Wolves 2 West Ham 0
Liverpool 5 Everton 2
Man Utd 2 Tottenham 1
Chelsea 2 Aston Villa 1
Southampton 2 Norwich 1
Leicester 2 Watford 0
What the stars mean:
★ Poor ★ ★ Promising ★★★ Good ★★★★ Very good ★★★★★ Exceptional