Preheat oven to 375 F. Spray silicone muffin molds or muffin tin with non stick spray.
In a large bowl, combine flour, cornmeal, baking powder, baking soda and salt.
In a medium bowl, combine sugar, applesauce, buttermilk and oil. Using a rubber spatula, fold into dry ingredients until just combined. Add cheese, folding until just combined.
Pour batter into prepared muffin molds 3/4 full. Bake for 25 minutes.