Frank Lampard’s side went into the match in the relegation zone having seen Burnley win their second consecutive match by beating Wolves earlier in the day.
And that’s where Everton remained after falling to defeat at Anfield thanks to second half goals from Andy Robertson and Divock Origi.
The Toffees have six matches to save their season as they now sit two points behind Burnley with a game in hand.
They host Chelsea next weekend before facing Leicester (A), Watford (A), Brentford (H), Crystal Palace (H) and Arsenal (A).
It’s still very much in Everton’s hands but you couldn’t blame their fans for starting to get very worried.
But no matter how worried they are, there’s absolutely no excuse for the behaviour of some of them at Anfield on Sunday.
That’s because images have emerged of Everton’s section of the Anfield Road End following their 2-0 defeat – and it’s a disgrace.
A couple of toilet blocks have been smashed up, while TVs have also been broken.
Everton fans destroy Anfield during loss to Liverpool
No matter what your side is going through on the pitch, there’s absolutely no need for that.
While some Everton supporters expressed their anger with vandalism, Lampard complained about poor refereeing decisions.
“It is a penalty in the second half,” said the Everton manager. “I don’t think you get them here.
“If it is Mo Salah at the other end, you get a penalty. I have played in teams in the top half of the league, you get them.”
When asked about the prospect of relegation following Burnley’s win, Lampard insisted he expected them to triumph over Wolves.
“This result doesn’t change it,” he said. “I expected Burnley to get a result (against Wolves).
“We have six games to their five. The penalty is the disappointment. In the cold light of day I think it is a penalty.”