Preheat oven to 350°.
Butter two 9" round cake pans. You can also line them with parchment paper.
In a large mixing bowl, using handheld mixer, whisk together flour, baking powder, baking soda, salt, cinnamon, nutmeg and ginger.
Add vegetable oil, applesauce, eggs, sugar, brown sugar and vanilla. Mix until everything is well combined.
Add in grated carrots and mix just until evenly distributed.
Divide mixture evenly into 2 prepared cake pans.
Bake in preheated oven for 35-38 minutes, or until a toothpick inserted in the middle of each cake comes out clean.
Allow cakes to cool completely before removing from pans and frosting.
Once cakes are cooled, frost cakes and finish with crushed pecans on top, and on the bottom sides.
Store cake in airtight container in refrigerator.
Enjoy!