Preheat the oven to 350°f.
Grease three 8” cake pans with butter or shortening, (you can also use baker’s release) and then line the bottoms of each pan with parchment. Then grease the top of the parchment. Set aside.
In a large mixing bowl, combine the eggs, granulated sugar, brown sugar, oil, applesauce, sour cream, vanilla, cinnamon, ginger, and nutmeg. Beat well until combined.
Slowly mix in the flour, baking powder, baking soda, and salt, stirring until just combined. Don't over-mix.
Fold in the carrots. If you are using pecans, fold them in now as well.
Evenly divide the batter between the prepared pans.
Bake for 40-50 minutes or until the toothpick test comes out clean. You can also test by gently pressing your finger on the center of the cakes - if they spring back, they are done.
Once cooked, remove, and place the pans on a wire rack to completely cool before removing the cakes from the pan.