I went searching for a cake using my homemade applesauce, and one that also used molasses.
I doubled this Spiced Applesauce Cake Recipe, and baked it in a 9 x 13 inch pan. The family loved it. It's a very dense cake and can be eaten with hands too (kid tested). It could use a layer of frosting for a tea party or coffee gathering, and is perfect for packing in school lunches.