I preheated the oven to 350 degrees F and prepared a springform pan.
Cheesecake mixture :
I whisked sugar and flour in a large bowl, until well combined.
Using an electric mixer I blended cream cheese and sugar mixture until smooth, I added eggs, vanilla extract, and sour cream, and I blended for 2 more minutes. (set aside ).
Carrot cake :
In a large mixing bowl, I whisked together (for 1 min) white flour, baking soda, baking powder, cinnamon powder, and a pinch of salt.
in another bowl I add oil, applesauce, brown sugar, eggs, and vanilla extract, I blended with a hand mixer, and slowly added dry ingredients, carrots and I mixed very well.