Preheat your oven to 400°F (200°C). Remove store-bought pizza dough from packaging and let sit at room temperature for about 15 minutes.
On a lightly floured surface, roll out the pizza dough into a rectangle about 1/4 inch thick, keeping it even for uniform baking.
In a small bowl, mix together the sugar and cinnamon until well combined.
Brush the melted butter or margarine evenly over the rolled-out dough.
Sprinkle the cinnamon-sugar mixture evenly over the buttered dough, covering every inch.
Using a pizza cutter or sharp knife, slice the dough into 1-inch wide strips of desired length.
Place the cinnamon sticks on a parchment-lined baking sheet. Bake in the preheated oven for 12-15 minutes until golden brown and fragrant.
While baking, prepare the vanilla cream cheese frosting by combining softened cream cheese, room temperature butter, powdered sugar, vanilla extract, and milk. Beat until smooth and creamy.
Once the cinnamon sticks are slightly cooled, generously spread the vanilla cream cheese frosting over them.
Cut the frosted sticks apart if needed and serve warm. Enjoy your copycat cinnamon sticks fresh out of the oven.