Grease the cake pans. Cut out and add a parchment round in the bottom of each. Grease the parchments and then dust all the pans with flour. Preheat the oven to 350 degrees F.
Mix the flour, baking soda, baking powder, salt, cinnamon, cardamom, ginger, cloves, and nutmeg in a mixing bowl and set aside.
Whisk the eggs, sugars, oil, buttermilk, and vanilla until well mixed in a large bowl.
Stir in the flour mixture until almost mixed. Then, stir in the applesauce, pineapple, carrots, coconut, and pecans. Be careful not to overmix.
Divide the batter between the prepared pans. Bake for 25 to 30 minutes or until an inserted toothpick comes out clean or with crumbs. Let the cake cool in the pans for 10 minutes. Then, insert a knife between the pan and the cake, running it around to loosen it from the sides. Turn the cake out onto a cooling rack. Peel the parchment paper from the bottom. Repeat for each cake layer.