Allow the butter to come to room temperature. Preheat the oven to 350ºF. Coat the inside of an 8x8-inch baking dish with butter.
In a large bowl, cream together 2 Tbsp of butter and the sugar using a hand mixer or mixing by hand with a wooden spoon. Add the applesauce and stir to combine.
In a separate bowl, stir together the flour, baking soda, cinnamon, cloves, salt, and nutmeg until well combined.
Pour the flour mixture into the applesauce mixture and stir just until combined.
In a separate small bowl, toss the raisins with about 1 Tbsp flour until they are lightly coated. Fold the flour coated raisins into the cake batter. Spread the cake batter into the prepared baking dish.
Bake the cake for 30-35 minutes, or until the the center springs back when pressed. Let the cake cool for 15 minutes before slicing into 9 pieces.