Preheat the oven to 350°F. Generously coat a 6-cup Bundt pan with butter or nonstick baking spray.
In a medium bowl, whisk together the flour, baking powder, baking soda, salt, cinnamon, nutmeg, ginger, and cardamom.
In a separate bowl, combine the apple cider and applesauce. Whisk until smooth and set aside.
In a large mixing bowl, beat the butter, oil, and brown sugar until light and fluffy (about 2–3 minutes). Add the eggs and vanilla extract, mixing well until fully incorporated.
Gradually add the dry ingredients and apple mixture to the creamed butter mixture in alternating additions: Start with ⅓ of the flour mixture, then add ⅓ of the apple mixture. Mix gently.Repeat this step two more times, ending with the remaining apple mixture. Stir just until combined—do not overmix.
Pour the batter into the prepared Bundt pan. Tap the pan lightly on the counter to release any air bubbles.
Bake for 45–50 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool in the pan for 15 minutes, then carefully invert it onto a wire rack to cool completely. While the cake is still warm, brush it all over with the melted butter.
In a small bowl, mix the sugar and cinnamon. Sprinkle or pat the mixture all over the cake for a crackly sweet crust.