Preheat the oven to 375 °F and a 12-count muffin tin with liners.
In a medium bowl, whisk together the brown sugar, oil, eggs, applesauce and vanilla until combined.
In a large bowl, whisk together the oat flour, baking powder, soda, salt and spices until mixed.
Pour the wet ingredients into the dry and whisk until just incorporated. Fold in the carrots. Divide the batter into prepared pan- the liners should be filled about ⅔ full.
Bake for 22-25 minutes until the centers lightly bounces back to the touch and a toothpick inserted into the center of a cupcakes contains just a few crumbs.
Remove from the oven and cool in the pan for 10 minutes and then move to a wire rack to cool for at least one hour.
Frost with cream cheese icing if desired and serve.
Notes
LeftoversStore leftover unfrosted cake at room temperature for up to 3 days or freeze for up to 3 months. Frosted cupcakes should be kept in the refrigerator for up to 3 days or frozen for up to 3 months.*Nutrition calculated without frosting.