Preheat oven to 425 degrees.
Roll out a refrigerated puff pastry on a lined sheet pan.
Using a pizza cutter cut down the center, longways. Make about 10 cuts in the opposite direction an inch or so apart to create the sticks.
Place the pan in the fridge while you get the rest of the ingredients together. You want the pastry to stay as cold as possible.
Melt 4 tablespoons of butter on the stove or in the microwave. Set aside.
To a bowl combine the cinnamon and sugar.
Remove the puff pastry from the refrigerator and pour half the butter on top and brush on evenly.
Cover in all of the brown sugar and cinnmon.
Pour the remaining melted butter over the cinnamon and sugar.
Bake in the middle rack for 13-14 minutes.
While that makes the glaze by whisking together the powdered sugar, milk and vanilla. Set aside.
When the sticks come out of the oven allow to cool for a few minutes before pouring over the glaze.
Serve immediately.