Start by preheating your oven to 350°F so it's fully heated by the time your batter is ready. Generously grease your bundt pan with nonstick spray, making sure to coat every groove. This step matters more than people think, since a bundt cake needs a clean release to look its best.
In a medium bowl, whisk together the flour, baking powder, baking soda, cinnamon, ginger, cloves, and salt. I like to really work these together so the spices distribute evenly through the batter. This also helps avoid any pockets of raw flour later on.
Beat the softened butter and sugar together on medium speed until the mixture turns pale and fluffy, which usually takes a few minutes. This step builds the light texture that makes the cake feel airy instead of dense. Don't rush it, since properly creamed butter makes a real difference.
Lower your mixer speed and add the eggs one at a time, letting each fully incorporate. In a separate small bowl, stir together the apple cider, applesauce, and vanilla extract. This wet mixture is where all that signature apple flavor comes from.
Alternate adding the dry flour mixture and the wet cider mixture into your batter, starting and ending with the flour. Mix on low speed just until everything is combined, since overmixing can make the cake dense. The batter should look smooth, thick, and lightly spiced in color.
Spoon the batter into your prepared bundt pan and smooth the top with an offset spatula. Tap the pan firmly on the counter a couple of times to release any trapped air bubbles. Bake for 45 to 50 minutes, until a toothpick inserted comes out clean or with just a few crumbs.
Let the cake cool in the pan on a wire rack for about 10 minutes before turning it out. This resting time helps the cake set so it releases cleanly without sticking. Carefully invert it onto the rack, and you should see a beautifully shaped bundt cake.
While the cake is still warm, brush it all over with melted butter using a pastry brush. Combine the sugar and cinnamon in a small bowl, then sprinkle it generously over the buttered cake. Let it cool completely before slicing so the coating has time to set.