Preheat oven to 350 degrees F and spray mini muffin tins with cooking spray or line with cupcake liners, and set aside. (You can make these standard-size as well, you will just need to increase the cook time by 3 – 5 minutes.)
In a medium bowl, stir together the dry ingredients (flour, sugar, cinnamon, baking soda, baking powder and salt.)
In a large bowl or stand mixer bowl, add the yogurt, brown sugar, eggs and vanilla and mix until well-combined. Add the grated carrots and mix well.
Add the dry ingredients and mix on low until fully incorporated. Use a medium cookie scoop or tablespoon to fill muffin tins, about 2/3 full.
Bake for 18-20 minutes, or until a toothpick inserted in the middle comes out clean. Cool for 5 minutes, then remove to a cooling rack to cool completely.
Serve warm or room temp. Can be stored in an airtight container for 3-5 days.