Vegan baking often calls for applesauce to replace eggs or oil. It adds moisture and helps bind the dough.
To make 1/4 applesauce, you can simply chop an apple and blend in your high speed blender until smooth, adding a little water if needed. Quick and easy and no boiling or peeling needed (so you get all the nutrients in the peel too).
*You can blend it all, including seeds, but I don't recommend it.