Preheat your oven to 350 degrees
Prepare your pan/pans by greasing the interior with softened butter or non stick spray and lining the bottom with parchment paper and set aside
In a large bowl, combine 1 cup of vegetable oil, 1 1/3 cups of brown sugar, 2/3 cup of granulated sugar, 1/2 cup of unsweetened apple sauce, 4 large eggs and 2 teaspoons of vanilla extract until smooth
In a separate bowl, whisk 2 1/3 cups of all purpose flour, 2 teaspoons of baking powder, 1 teaspoons of baking soda, 3/4 teaspoon of salt, 2 teaspoons of ground cinnamon, 1 teaspoon of ground ginger, 1/2 teaspoon of all spice, 1/4 teaspoon of ground nutmeg, 1/8 teaspoon of black pepper and 1/8 teaspoon of cardamom until fully incorporated
Add the dry ingredients to the wet ingredients and mix until just combined
Fold the grated carrots and finely chopped nuts into the batter
Transfer the batter into the pan/pans
Bake in a 350 degree oven and bake until a toothpick will come out of the center of the cake clean (approximately 22 minutes for three 8 inch pans, 30 minutes for two 9 inch pans or 55 minutes for a 10 inch bundt or tube pan)
Transfer the fully baked cake/cakes onto a cooling rack and allow them to cool in the pans until they come to room temperature
Frost generously with cream cheese frosting Store in an airtight container at room temperature or the refrigerator