Preheat oven to 350°F. Lightly coat 12-count muffin tin with cooking spray.
Whisk together all-purpose flour, whole wheat flour, baking soda, baking powder, cinnamon and salt.
With an electric mixer, beat bananas with brown sugar, Chobani, oil and egg. Add dry ingredients, mixing on low until combined.
Divide batter among muffin cups. Bake until golden-brown and center of a muffin resists light pressure, 20-25 minutes. Cool on a wire rack.