• Preheat the oven to 350 degrees F.
• Grease a 9x13" baking dish. Set aside.
• In a large bowl, whisk together the melted butter and sugar.
• Add the eggs, egg yolk, and vanilla, whisking well to combine.
• Add the grated carrots, stirring well to combine.
• Add the baking soda, baking powder, salt, cinnamon, nutmeg, and cloves, and mix in with a spatula.
• Finally, add the flour, mixing until well combined.
• Pour the batter into the prepared baking pan.
• Bake in the preheated oven for 40-45 minutes, until the middle is set and a toothpick comes out of the center clean.
• Cool completely.

Make the Brown Butter Cream Cheese Frosting

• Add the butter to a small saucepan over medium heat.
• Melt the butter and continue to cook it until brown specks form on the bottom. This will take approximately 10 minutes. Remove from the heat immediately. Transfer the butter to a heatproof container and then cool in the refrigerator until cooled, about 15 minutes. It shouldn't be completely hard/set up...more like room temperature butter.
• In a medium bowl, beat together the browned butter and cream cheese.
• Add in the powdered sugar, one cup at a time.
• Finally, add in the milk as needed for desired consistency.
• Frost the cooled carrot cake bars.
• Cut, serve, and enjoy!