McTominay scored twice, and provided an assist for Daniel James, during an all-action display, but was unable to complete the game, limping off holding his groin in injury time to leave the Reds down to 10 men for the final seconds, having made all three substitutions.
Shaw was the first of those changes, making way for Alex Telles around the hour-mark and heading straight for the dressing room.
It would appear that both could miss the midweek Carabao Cup quarter-final at Everton, as the Reds look to knock out the in-form Toffees in front of 2,000 of their own fans at Goodison Park on Wednesday.