Rio Ferdinand and Frank Lampard pinned Liverpool's collapse on one player, when speaking on BT Sport.
Liverpool were comfortably leading at the break after goals from Saido Mane and a Roberto Firmino brace.
But Sevilla showed strong resolve to fight back back from three goals down as Wissam Ben Yedder scored two and Guido Pizarro scored a late, late equaliser.
Defender Alberto Moreno was widely condemned for his performance in conceding the free-kick and giving away the penalty that led to his former side's two opening goals.
Rio Ferdinand spoke of how poor the Spaniard was on Tuesday night on the show (via The Mirror): "Individual errors have cost them today. He [Moreno] has had a bad, bad night.
"If you're his teammate, you are screaming at him there [for the opening goal] - 'What are you doing?!'
"Going back to your old club can bring pressure," added the former Manchester United defender, "but he has been susceptible to mistakes in the last few seasons."
Had Liverpool held on, first place would have been guaranteed as well as a place in the knockout stage for the first time in over eight years.
Also speaking on BT Sport, Chelsea legend Frank Lampard followed suit in blaming the left-back for his side crumbling.
"If you get through the start of the second-half, you don't have a problem. The first goal, pressing into midfield, is not nerves. Juergen Klopp will be so disappointed with him tonight.
"When you make sloppy mistakes, it changes the whole aspect of the game from just one player."
Ferdinand, 39, also spoke of the lacking mentality at the Merseyside club and why improvements are required at the back.
"They need a leader in central defence. They need someone to be the man and tell his teammates where to be.
"They have got too many followers and are looking to the bench and the manager. Every goal could have been prevented."
Despite the result, Liverpool still sit top of Group E by a point and host Spartak Moskva in a fortnight's time at Anfield, knowing a win will secure top spot.