Steven Gerrard's header opened the scoring at Anfield, and then the Reds' strike partnership took over as two goals from Daniel Sturridge and one from Luis Suarez saw off a woeful Blues effort that was admittedly hindered by an injury to Romelu Lukaku.
Regardless of that, Liverpool enjoyed their day.
Here are six lessons learned from the match.
How immense was Steven Gerrard here?
Right from the first minute the Reds skipper was everywhere in this clash, as seemingly everything that he attempted worked.
He kept Ross Barkley in his pocket with a few well-timed interceptions, and his goal was a work of art for Reds fans.
Look at his eyes as he celebrates it! They were almost about to burst!
Liverpool were missing an entire (and impressive) back four here (Glen Johnson, Mamadou Sakho, Daniel Agger and Jose Enrique), and Everton must have sensed that this was a chance for them to win at Anfield for the first time this century.
But they were woeful, feeble and reliant on mistakes made by the home side for any form of attacking inroads.
Roberto Martinez won't like hearing it, but he fell into David Moyes' trap here. Liverpool schooled him.
Yes, he missed a penalty, but eventually that will only become a footnote from this magical night.
Daniel Sturridge was superb here, leading the line in a manner that England would crave if he can repeat it in the summer.
His second goal was clearly a work of art, the type of finish that would be talked about for months had it been performed by one of the Premier League's approved top men.
Liverpool have Sturridge, though, and on this evidence he should be here to stay.
How good was Philippe Coutinho here? Too good for Everton to deal with him, obviously.
The Brazilian ran the show. He responded to being positioned in the centre of things by his manager Brendan Rodgers, who must have had initial concerns about putting Coutinho in against one of the best and most fluid midfields we've seen this season.
The Brazilian holds no fear, though, and he was undoubtedly the winner on the night.
Everton's night would have been so different had Ross Barkley's early effort gone in as opposed to over the bar, but after that the youngster appeared to fade away from a contest that he never seemed likely to win.
Far too often the youngster was dominated, such as in the picture above when Martin Skrtel snuffed him out, and he was never able to stamp any form of authority on both the game and Liverpool.
Hopefully he learns from the experience and becomes a better player.
Judging by this performance, Liverpool look set for a prolonged assault at achieving Champions League football next season.
This was supposed to be a huge challenge for the Reds, but instead they easily overcame it.
News of Manchester United's win over Cardiff wouldn't have registered in the minds of Reds tonight, but the pair suddenly look likely to challenge for fourth place until the end of the season.
Everton were woeful here, and both Manchester United and Liverpool have to think that they are better than them.