- Preheat oven to 350℉/180℃. Line an 8x8 inch baking pan with parchment paper for easy removal. Set aside. 
-  In a medium sized bowl, add the melted butter and brown sugar and whisk to combine.  - 1/2 cup butter, 3/4 cups light brown sugar 
- Add in the egg and vanilla and continue whisking. - 1 egg, 1 tbsp vanilla 
- Add in the flour, cinnamon, baking powder and salt and using a spatula, fold it in again until no dry streaks appear. - 1 cup all-purpose flour, 1 1/2 tsp cinnamon, 1/4 tsp baking powder, 1/4 tsp salt 
- Toss in the shredded carrots and fold in just a few times (don't overmix!) - 1 cup shredded carrots 
- In another medium sized bowl, add in the cream cheese, sugar, egg yolk, flour, and vanilla. Using a handheld electric mixer, mix on medium speed until smooth and creamy. - 4 ounces cream cheese, 1/4 cup white sugar, 1 egg yolk, 1 tbsp flour, 1 tsp vanilla 
- Spread about half of the carrot cake batter into the bottom of the pan with a spatula. 
- Drop spoonful’s of the cheesecake batter over the carrot cake batter. Then drop the remaining carrot cake batter around the cheesecake batter. Take a knife and swirl around until the two are swirled together. 
- Bake the bars for 35-40 minutes. The edges will be set, while the middle remains jiggly. The bars will continue to bake as they cool and set. 
-  Cool completely before cutting. Since there is cream cheese in this recipe, I suggest keeping them stored airtight in the refrigerator. Enjoy!