Preheat the oven to 375 degrees F (190 degrees C).
Roll out the puff pastry into a rectangular shape on a lightly floured surface.
Spread apple butter evenly over the puff pastry.
Sprinkle shredded cheddar cheese, ground cinnamon, and ground nutmeg over the apple butter.
Cut the puff pastry sheet into strips, about 1 inch wide.
Take each strip and gently twist it a few times. This creates the twisted appearance.
Place the slices onto a baking sheet lined with parchment paper.
Bake in the preheated oven for 15-20 minutes or until golden brown and crispy.
Remove from the oven and let cool slightly before serving.
Enjoy these delicious apple butter cheese twists!