Preheat oven to 350 degrees F (175 degrees C). Lightly grease a 9X13 inch pan with non-fat cooking spray.
In large mixing bowl, beat eggs. Slowly beat in sugar, then applesauce, milk, and vanilla. Stir in cloves, nutmeg, cinnamon, baking soda, and flour. Stir in, one ingredient at a time, pineapple (with juice), carrots, walnuts, raisins, and ginger. Pour into the prepared pan.
Bake for 35 - 40 minutes in the preheated oven. It is done when toothpick inserted in center comes out clean.
For frosting: In a medium bowl, combine butter, cream cheese, confectioners’ sugar and 1 teaspoon vanilla. Beat until the mixture is smooth and creamy. Frost the cooled cake.