Preheat oven to 350°F.
Beat the butter and sugars until creamy and light. Add the vanilla and eggs and beat again.
Stir together the flour, baking powder, salt, and cake spice. Stir together the milk and apple cider. Alternate adding dry and wet to the butter mixture until combined.
Gently stir in the apples. Spoon batter into 15 cupcake liners. Bake for 18-20 minutes. Remove and let cool.
Whisk together the powdered sugar, apple cider, and cake spice. Dip the cooled muffins in the glaze. Let set. Store in a loosely sealed container.