Help with making mob lay on bed

So I'm making a mod with a custom cat that has a animation where it lays on the bed and the player holds it but I can't get it to face the back of the bed which makes the animation look weird because the player hangs off the bed half the time. If anyone knows how I can make the cat like face the same was as the bed or something it would be a big help! I hope you all have a lovely day/night!