Preheat the oven to 350 degrees and line 1 cupcake tin with paper liners. Set aside for later.
Add the flour, baking powder, baking soda, cinnamon, nutmeg, cloves, and salt to a medium sized mixing bowl. Whisk to combine.
Add the carrots to the dry ingredients and gently toss. Set aside.
Combine both sugars and the eggs to the bowl of a stand mixer fitted with the paddle attachment, or a large mixing bowl with a hand mixer. Stir at low/medium speed until combined and fluffy. Slowly add the oil, stirring until fully combined.
Scrape the sides of the bowl and add the dry ingredient/carrot mixture. Slowly stir until the dry and wet ingredients combine completely, about 1 minute.
Divide between the cupcake liners, filling each 3/4 full. Bake for 15 to 20 minutes, or until a toothpick that is poked into the center of a cupcake comes out clean.
Cool completely and frost with cream cheese frosting.