The Everton chief had seen his side lose 1-0 on Sunday to slip five points behind their local rivals in the battle for fourth spot in the Barclays Premier League.
But Moyes claimed: "I would expect Liverpool to finish higher than fourth. And I think it is incredible that we are still talking about Everton being in with a shout of (the) top four. Liverpool will see this season as a disappointment."
Moyes maintains his injury-ravaged side can catch Liverpool in fourth, and sees the weekend fixtures - Everton are at home to relegated Derby and Liverpool face Arsenal again - as the moment when the gap could be reduced to just two points again.