Spiced Carrot Layer Cake

Name: Spiced Carrot Layer Cake
Ingredients: 1 cup unsalted butter, plus more for pans; 1 1⁄4 cups flour, plus more for pans; 1 1⁄4 cups whole wheat flour; 1 tbsp. baking powder; 1 tbsp. baking soda; 1 tbsp. ground cinnamon; 2 tsp. ground ginger; 1 tsp. kosher salt; 1⁄2 tsp. ground allspice; 1 cup sweetened flaked coconut; 1⁄2 cup finely ground almonds; 3 cups finely grated carrots; 1 1⁄2 cups packed dark brown sugar; 3 eggs, separated; 1⁄2 cup plain yogurt; 1⁄4 cup orange juice; 1 tbsp. orange zest; 1 tsp. vanilla extract