Everton will contact the Professional Game Match Officials Limited (PGMOL) to query why a challenge they feel should have led to a penalty was not reviewed further in the Merseyside derby.
With the game goalless, forward Anthony Gordon went over in the area following a challenge by Liverpool's Joel Matip.
Eight minutes after the incident Andy Robertson scored Liverpool's opener with Divock Origi sealing the 2-0 win.
The defeat left Everton in the relegation zone with six games to go.
Frank Lampard's side are two points below Burnley, who occupy the final position of safety, though the Toffees have a game in hand.