Preheat your oven to 325°F
In a medium size mixing bowl, combine the flour, cinnamon, nutmeg, salt, and baking powder. Whisk to combine. Set aside.
In a large bowl, combine the granulated sugar, brown sugar, and oil. Mix on medium speed to combine. Add the eggs to the sugar mixture and mix on medium speed for about two minutes. Add the applesauce and vanilla. Mix to combine.
With the mixer on low speed, add 1/3 of the flour mixture, followed by half of the apple cider.
Continue alternating the flour mixture and the apple cider, finishing with the flour mixture. Mix until no streaks of flour remain. The batter will be slightly thin, not thick.
Coat a Bundt pan with nonstick spray and flour. Pour the batter into the Bundt pan and bake for 55-60 minutes, or until the cake is done. A toothpick inserted in the center of the cake will come out mostly clean with a few moist crumbs on it.
Let the cake cool for 1 hour in the Bundt pan before turning it over onto a cake plate or cooling rack. Using a pastry brush, coat the cake in melted butter. Combine the coarse sugar and 2 teaspoons cinnamon and then sprinkle onto the top and sides of the cake.
To coat the sides, it's best to fill your hand with the mixture and pat it on the cake.