The Reds had won simply certainly one of their previous nine visits to Goodison, but have been in complete control from the primary whistle against Benitez's guys, who've now taken just two points from the closing 24 on offer inside the Premier League.
Stunning strikes from Jordan Henderson and Salah internal 20 mins gave Everton a mountain to climb.
Demarai Gray's strike gave the Toffees desire before the destroy.
But that turned into extinguished by using every other clinical Salah end just after the hour mark because the Egyptian took his tally for the season to 19 desires in 19 video games earlier than Diogo Jota blasted domestic a fourth 12 minutes from time.
Benitez changed into an unpopular appointment amongst many of the Everton aid before he had even taken fee of a sport given his history as Champions League prevailing educate for Liverpool all through six years at Anfield.
A nice begin had quelled some of the disquiet, but Everton are sinking rapid closer to a relegation conflict with the lovers in no question as to who is responsible.
The visiting Liverpool enthusiasts sang Benitez's call in ironic birthday party, however he was met with a barrage of boos as he headed down the tunnel at complete-time.
Liverpool could have been out of sight internal 10 minutes as Joel Matip headed simply huge earlier than Salah turned Sadio Mane's risky go over from close variety and became then denied by way of a tremendous store from Jordan Pickford.
The opener arrived on nine mins while Andy Robertson picked out Henderson in acres of space at the threshold of the container and the England midfielder caressed the ball past Pickford.
