Preheat oven to 325°F. Generously grease and flour a 10- to 12-cup Bundt pan.
In a medium bowl, whisk together flour, cinnamon, nutmeg, salt, and baking powder.
In a large bowl, beat granulated sugar, brown sugar, and vegetable oil until combined.
Add eggs and beat on medium speed for 2 minutes.
Mix in applesauce and vanilla extract until combined.
On low speed, add one-third of the flour mixture, followed by half the apple cider. Repeat, finishing with the flour mixture. Mix until just combined.
Pour batter into the prepared Bundt pan and bake for approximately 50 minutes, or until a toothpick comes out with a few moist crumbs.
Allow the cake to cool in the pan for about 1 hour before carefully turning it onto a cooling rack or serving plate.
Brush the cake with melted butter.
Combine the granulated sugar and cinnamon for the topping. Sprinkle over the top and gently press onto the sides of the cake.
Slice, serve, and enjoy!