Pictures from the away end showed Reds fans lifting up balloons depicting the year 1995 and the number 30 - referencing the last time the Toffees won a trophy.
Liverpool fans were back in fine voice just four minutes later when Alexis Mac Allister looped a header beyond Jordan Pickford to restore parity.
However, their last taste of silverware came in 1995 when they beat Manchester United 1-0 at the old Wembley thanks to a goal from Paul Rideout.
Liverpool fans displayed a provocative tongue-in-cheek banner before the final Merseyside derby kicked off at Goodison Park on Monday night.
Although they were taunted before kick-off, it was Everton fans who were cheering louder once the game kicked off, thanks to striker Beto's 11-minute opener.