Preheat the oven to 350˚F with a rack in the center of the oven. Butter two 9-inch round cake pans, line the bottoms with a ring of parchment paper and lightly butter the parchment. Set aside.
In a large mixing bowl, add flour, both sugars, baking soda, baking powder, cinnamon, nutmeg, allspice, cloves and salt. Whisk to combine and break up any brown sugar clumps.
In a second mixing bowl, whisk together the wet ingredients: oil, eggs, and applesauce just until well combined. Add the wet ingredients to the dry ingredients and use a spatula to fold until combined.
Use a spatula to fold in the carrot, nuts and raisins if using and fold until well incorporated.
Divide the batter evenly between the cake pans and bake in a fully preheated oven for 30-35 minutes or until a toothpick inserted into the center comes out clean.
Let the cake rest in the pans for 15-20 minutes then transfer to a wire rack and cool to room temperature before applying frosting and decorating.
