Lightly grease a 6 1/2" springform pan and set aside.
In a medium mixing bowl using an electric hand mixer, beat together the cream cheese and sugar until smooth.
8 ounces (225 grams) full-fat cream cheese, 2 tablespoons granulated sugar
Add the salt, vanilla and egg and beat until smooth.
1/8 teaspoon salt, 1 teaspoon vanilla, 1 large egg
Stir in the Greek yogurt and set this bowl aside.
1/3 cup (75 grams) plain Greek yogurt
Preheat the oven to 350°F (176°C).
Prepare the cake batter by mixing together all the dry ingredients (flour through salt) in a medium bowl.
1/2 cup (62 grams) whole spelt flour, 1/2 teaspoon baking soda, 1/2 teaspoon ground cinnamon, 1/4 teaspoon ground ginger, 1/8 teaspoon ground nutmeg, 1/8 teaspoon salt
In another medium mixing bowl, mix together the oil, apple sauce, sugars and egg.
2 tablespoons (28 grams) coconut oil, 2 tablespoons + 2 teaspoons unsweetened apple sauce, 1/4 cup (50 grams) unrefined sugar, 1 large egg
Add the dry mix to the wet and stir just until combined.
Fold in the carrots.
3/4 cup (100 grams) peeled and grated carrots
Pour half of the cake batter on the bottom of the prepared pan.
Dollop large spoonfuls of half the cheesecake batter over the carrot cake batter. Do not swirl or mix it together.
Dollop the remaining carrot cake batter over the cheesecake batter layer.
Evenly spread the remaining cheesecake on top.
Bake for 30 minutes or until the middle of the cheesecake is still jiggly but appears to be almost set. The cake will rise and crack but don't worry as you'll be covering the cake with frosting.
Let the cheesecake cool completely and then refrigerate for 3 hours.
After the cheesecake has cooled thoroughly, prepare the frosting by mixing together the cream cheese and sugar until smooth.
2 ounces (56 grams) full-fat cream cheese, 1/3 cup (66 grams) granulated sugar
Add the Greek yogurt, oil, vanilla and salt and mix until thoroughly combined.
1/2 cup (112 grams) plain Greek yogurt, 1 tablespoon (14 grams) coconut oil, 1 teaspoon vanilla, 1/8 teaspoon salt
Spread the frosting over the top of the cheesecake and chill for another hour until the frosting firms up just a bit.
Refrigerate until ready to serve.
Cover and refrigerate for up to 4 days.