Drain and rinse the can of pears. Chop the pears into ½-inch cubes.
Put the pears in a saucepan over medium heat with 1 tablespoon of brown sugar. Stir the pears and sugar together and cook over medium heat until the pears have browned up a little and most of the liquid has evaporated. Set aside. (this step can be done ahead of time.)
Preheat the oven to 375 °F. Lightly spray an 8-inch baking dish with nonstick spray.
Whisk the applesauce and ½ cup of brown sugar together.
Whisk in the egg and liquid egg whites.
Whisk in the grated ginger, baking powder, salt and vanilla extract.
Stir in the milk
Stir in the oats.
Stir in the cranberries.
Pour the whole thing into your prepared baking dish. Bake for 45 minutes, or until a knife or toothpick inserted into the center of the oatmeal comes out clean. If you're using frozen cranberries, you might need to bake this for up to an hour, so keep an eye on it!