Preheat oven to 350F.
In large bowl, sift together all dry ingredients.
Cream together butter, sugar, and brown sugar in separate bowl. Beat in egg, vanilla, and applesauce.
Alternating, add dry ingredients and apple cider to the wet ingredients.
Transfer to a greased 7x11 casserole dish.
Bake at 350F for 35-40 minutes until toothpick inserted comes out clean.
Place on cooling rack and generously prick the hot cake with a fork.
Drizzle melted butter over top of the hot cake.
In small bowl, combine sugars and cinnamon. Sprinkle over top of coffee cake.
