Preheat oven to 350°F. For the Cake, grease and flour 2 (9-inch) round cake pans. Set aside. Mix flour, granulated sugar, baking soda, salt, cinnamon and allspice in large bowl with spoon. Add oil, applesauce, eggs and vanilla; mix well. Add carrots and walnuts; mix until well blended. Pour batter into prepared pans.