01 -
Preheat oven to 350°F. Lightly grease a 9x13-inch baking dish with nonstick spray or line with parchment paper, leaving an overhang for easy removal.
02 -
In a large bowl, whisk together flour, granulated sugar, brown sugar, baking soda, baking powder, salt, cinnamon, nutmeg, and cloves until evenly blended.
03 -
In a separate bowl, whisk together oil, sour cream, eggs, and vanilla extract until fully incorporated.
04 -
Add wet ingredients into the dry ingredient mixture and stir gently until almost combined. Fold in the shredded carrots, being careful not to over-mix the batter.
05 -
In a large bowl, beat cream cheese, granulated sugar, and vanilla extract with an electric mixer until smooth. Add eggs one at a time, blending thoroughly after each addition.
06 -
Spread half of the carrot cake batter in the prepared baking dish. Spoon dollops of cheesecake mixture over the batter. Add spoonfuls of the remaining carrot cake batter on top, then gently swirl batters together with a knife to create a marbled effect without overmixing.
07 -
Bake on the center rack at 350°F for 35 to 40 minutes, or until a toothpick inserted into the center emerges clean or with a few moist crumbs attached.
08 -
Let bars cool completely in the pan on a wire rack. Cover and refrigerate for at least 2 hours. Slice and serve chilled. Store leftovers covered in the refrigerator for up to 1 week.