Preheat oven to 350F. Prepare a muffin tin with cupcake liners or grease it. Set aside.
In a medium sized mixing bowl, whisk together flour, baking powder, baking soda, salt, and cinnamon.
In a larger mixing bowl whisk together egg, yogurt, butter, honey and vanilla.
Add dry ingredients to the wet ingredients and whisk to combine. Add in grated carrots and stir.
Pour batter into prepared muffin tin, filling each cavity 2/3-3/4 of the way full.
Bake for 20 minutes or until toothpick comes out clean. Let cool in the pan 3-5 minutes then remove them to cooling rack. Allow to cool completely.
Cream Cheese Frosting
Combine all frosting ingredients, cream cheese, yogurt, honey/maple syrup, vanilla and salt into a medium sized mixing bowl. Whisk until fully combined and smooth. If frosting is very soft, chill in the fridge for ten to fifteen minutes before piping.