Preheat oven to 375°F. Spray a 12-cup muffin tin with nonstick cooking spray. Set aside.
Whisk together flour, baking powder, baking soda and salt.
Whisk together brown sugar, Chobani, oil, eggs and vanilla. Add dry mixture to Chobani mixture and stir until nearly combined. Evenly divide batter among muffins cups.
Sprinkle tops of muffins with coarse sugar and bake until center of muffins resist light pressure, 16 to 18 minutes. Cool completely before serving.