Preheat the oven to 375 °F. Lightly spray a 9x13-inch baking dish with nonstick spray.
In a large bowl, whisk together the applesauce, molasses and brown sugar.
Beat in the egg and egg white with a whisk.
Whisk in the melted butter, baking powder, spices and salt.
Stir in the milk
Stir in the oats
Pour the mixture into the prepared baking dish. Bake for about 45 minutes. The oatmeal is done when the edges are golden-brown and when a toothpick inserted into the center of the oatmeal comes out clean.