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To make the applesauce cake: Preheat oven to 350 degrees. Spray a 13 by 9-inch baking dish with non-stick cooking spray. In a large mixing bowl whisk together flour, baking soda, baking powder, salt, cinnamon, ginger, nutmeg, and allspice for 30 seconds.

Preheat oven to 350 degrees. Prepare an 8-inch baking pan with non-stick spray. In a large mixing bowl, cream together the butter and sugar. Add in the applesauce and mix well.

In a large bowl, whisk together flour, baking soda, salt, cinnamon, and cardamom. Set aside. In another bowl, with an electric mixer, beat butter, brown sugar, and honey until light and fluffy. Add eggs, one at a time, beating until combined. With mixer on low speed, gradually add flour mixture; beat just until combined. Beat in applesauce.

In a separate bowl or large measuring cup with a spout, stir together applesauce, molasses, and oil. With the mixer on low, add one-third of the dry ingredients to the butter mixture and combine for one minute.