Preheat oven to 350° and lightly grease & flour a muffin pan. Combine the cornmeal, flour, baking soda, and salt in a large bowl; stir in the applesauce, onions, soy milk, and sweetener. Slowly add the oil while stirring. Pour the mixture into the muffin pan or baking pan. Gently drop a bit more caramelized onion on top of the batter.
Bake in the preheated oven until a toothpick inserted in the crown of a muffin comes out clean, about 20 minutes.