Preheat your oven to 350°F (175°C). Grease a 12-cup muffin tin or line it with muffin liners.
In a small saucepan, bring the apple cider to a boil over medium heat. Reduce heat and let it simmer until it reduces to about 1/2 cup (approximately 10-15 minutes). Set aside to cool slightly.
In a large bowl, whisk together the flour, baking powder, baking soda, cinnamon, nutmeg, and salt. Set aside.
In another bowl, use an electric mixer to cream together the softened butter, brown sugar, and granulated sugar until light and fluffy (about 3-4 minutes).
Beat in the eggs one at a time, followed by the reduced apple cider, applesauce, and vanilla extract. Mix well until smooth.
Gradually add the dry ingredients to the wet ingredients, mixing just until combined. Avoid overmixing.
Spoon the batter into the prepared muffin tin, filling each cup about 2/3 full.
Bake in the preheated oven for 18-20 minutes or until a toothpick inserted in the center comes out clean. Let them cool in the pan for 5 minutes.
While the muffins are cooling, mix the granulated sugar and cinnamon in a shallow bowl.
Once cooled slightly, remove the muffins from the tin. Roll them in the cinnamon-sugar mixture while they are still warm, ensuring an even coating.
Notes
Arrange the muffins on a decorative plate, dust with a little extra cinnamon sugar, and serve warm with a side of apple slices or whipped cream for a delightful treat!