Line a baking sheet with parchment paper and preheat oven to 375 degrees F.
In a large bowl, use an electric mixer to beat both sugars, egg, and butter. Mix until creamy.
Sift together flour, baking soda, cinnamon, and salt. Add dry ingredients into wet ingredients. Beat until batter forms.
Add shredded carrots and mix thoroughly.
Using a cookie scoop (or a ¼ measuring cup), scoop mounds of batter on a lined baking sheet, about 2 inches apart from each other.
Bake for 12-15 minutes and allow to cool before decorating.
To Decorate
Make buttercream by beating butter, icing sugar and milk. Once ingredients are smooth and well-combined, scoop into a piping bag with a round tip attached. You can also use a plastic bag and cut a small hole in the corner to use for piping the icing.
Frost the center of each cookie.
Roll out 15-20 spheres of orange fondant - about ½ an inch in size. Shape them into cylinders.
Press a small piece of green of fondant on the top of each orange piece.
*Nutritional information is a calculated guesstimate. Please note that this can change with different brands and modifications you may make to the recipe. For the most accurate information, use a nutritional calculator with the exact brands and measurements you're using with each recipe.