Apple Cider Cake with Apple Cider Glaze

On our first orchard trip of the autumn, I bought a gallon of apple cider. I had about half a gallon left and it started to expire, so I went looking for a recipe that used a lot of it. Between cake and glaze, this recipe uses 2 cups. Instead of going full apple cider doughnut with Martha's cake recipe, I didn't cover the cake in the cinnamon sugar mixture and opted for the apple cider glaze instead, for a slightly more sophisticated look.

Apple Cider Cake

For the cake:
(recipe adapted slightly from Martha Stewart's Apple Cider Doughnut Cake)

2 cups unbleached all-purpose flour
1 cup whole-wheat flour
1 1/2 teaspoons baking powder
1 1/2 teaspoons ground cinnamon
1/2 teaspoon baking soda
3/4 teaspoon kosher salt
1 1/5 cups natural cane sugar
1 cup apple cider
3/4 cup extra-virgin olive oil
3/4 cup unsweetened applesauce
2 teaspoons pure vanilla extract
3 large eggs, room temperature  

1. Preheat oven to 350 degrees. Butter and flour a 12-cup Bundt pan. In a large bowl, whisk together both flours, baking powder, 1 teaspoon cinnamon, baking soda, and salt. In another bowl, whisk together sugar, cider, oil, applesauce, vanilla, and eggs. Add egg mixture to flour mixture; whisk until combined. Transfer batter to prepared pan.
2. Bake, rotating pan halfway through, until a tester inserted in center comes out clean, 45 to 50 minutes. Transfer pan to a wire rack; let cool 15 minutes. 
3. Invert warm cake onto rack plate and allow to cool completely, while you make the glaze (below.)

Glaze
(recipe from Buns In My Oven)

1 cup apple cider
1/2 - 3/4 cup powdered sugar
2 tablespoons butter
1 teaspoon cinnamon
Dash of salt

Bring the cider to a boil over medium heat, reduce heat to low, and simmer for 10 minutes or until reduced by half. Stir in the butter, cinnamon, salt, and 1/2 cup of powdered sugar until well combined. Add remaining powdered sugar to thicken the glaze, if desired. 

Drizzle over cooled cake. Cake can be stored, covered, at room temperature up to 2 days.