Preheat the oven to 425℉. Line a muffin pan with paper liners and set aside.
In a medium bowl, mix together the flour, baking powder, baking soda and cinnamon. Set aside.
In a large bowl, cream together the butter, white sugar and brown sugar until light and fluffy. Add in the eggs one at a time, mixing until fully incorporated. Add in the yogurt, and mix until fully combined.
Slowly mix the dry ingredients into the wet ingredients until just combined. Mix in the shredded apples.
Divide the batter into the prepared muffin cups, sprinkling some coarse sugar on top. Bake in the preheated oven for 5 minutes, turn down the heat, then bake for an additional 15-18 minutes, or until a toothpick inserted comes out clean. Allow to cool in the pan for 5 minutes before transferring to wire racks to cool completely.