Heat oven to 350℉/177℃.
Spray 3 eight-inch cake pans with baking spray. Set aside.
Toss apples with corn starch. Set aside.
In a medium bowl, whisk flour, baking powder, baking soda, salt, and cinnamon. Set aside.
In a small bowl, whisk buttermilk, applesauce, and vanilla together. Set aside.
With an electric mixer fitted with the flat beater, beat butter, brown sugar, and granulated sugar until light and fluffy, about 2-3 minutes.
Add eggs, one at a time, beating well after each addition. (You may need to scrape the sides of the bowl down occasionally.)
Add flour mixture alternately with buttermilk mixture, beginning and ending with flour mixture.
Stir cornstarch-coated grated apples into the batter until evenly distributed.
Divide batter evenly among the three prepared cake pans.
Bake for 30-35 minutes, or until a cake tester (or toothpick) inserted in the center comes out clean and the sides start to pull away from the pan.