Preheat oven to 350º F. Grease and flour a 14-cup Bundt pan.
In a large mixing bowl whisk the flour, both sugars, cinnamon, salt, baking soda, nutmeg and allspice together. Stir in the eggs, oil, applesauce and vanilla until completely combined. Stir in the apples and pecans.
Spoon about two-thirds of the apple batter into the pan. Spoon the cream cheese over top of that, don't go all the way to the edge of the pan - leave a 1-inch border. Spoon the remaining cake batter over top and smooth out. Gently tap the pan on the counter a few times to get out air bubbles.
Bake for 1 hour to 1 hour and 15 minutes or until a toothpick inserted in center comes out clean. Cool cake in pan on a wire rack 15 - 20 minutes then remove from pan to wire rack and cool completely.