Preheat the oven to 350°F (175°C). Grease and flour a bundt pan.

In a mixing bowl, combine flour, baking powder, baking soda, cinnamon, nutmeg, and salt. Set aside.

In a large bowl, cream together the softened butter, granulated sugar, and brown sugar until light and fluffy.

Add eggs one at a time, mixing well after each addition. Stir in the vanilla extract.

Gradually add the dry ingredients to the butter mixture, alternating with the apple cider, starting and ending with the dry ingredients. Mix until just combined.

Pour the batter into the prepared bundt pan and smooth the top.

Bake in the preheated oven for 50-60 minutes, or until a toothpick inserted into the center comes out clean.

Allow the cake to cool in the pan for 10 minutes, then invert onto a cooling rack to cool completely.

In a small bowl, whisk together powdered sugar, apple cider, and vanilla extract until smooth.

Drizzle the glaze over the cooled bundt cake before serving.