Preheat oven to 375 degrees. Line a 12 cup muffin tin with papers.
In a large bowl mix together flours, oats, baking powder, soda, salt and cinnamon.
In a medium bowl whisk together applesauce, buttermilk, brown sugar, oil and egg. Combine until smooth.
Pour wet mixture into dry ingredients and mix until just moist. Fold in cherries.
Fill muffin papers about 2/3 full.
Bake 15 minutes and check for doneness with a toothpick. If pick inserted in center comes out clean, they are done. If not done, bake in additional 1 minute increments until toothpick comes out clean.
Remove from oven to wire cooling rack for 5 minutes. After 5 minutes, remove muffins from pan to cool completely.