Combine the molasses and applesauce in a large bowl. Combine remaining ingredients and stir into the liquid. If batter seems very dry, add a little more applesauce or a little water. Bake in a nonstick or pan sprayed 8x8 inch baking pan, in a 350° F. oven for 30-45 minutes or until it tests done. 
The optional ginger makes an acceptable gingerbread. Or you can leave out the ginger and add 3-7 Tbsp. of cocoa to make a tasty but not very sweet or rich chocolate cake

167.5 Calories, 0.4 g Total Fat, 0.1 g Saturated Fat, 0 mg Cholesterol, 495.6 mg Sodium, 38.6 g Total Carbohydrate, 1.4 g Dietary Fiber, 2.8 g Protein, 174.1 mg Calcium.