Rolling out the rectangular cookie dough shape works well on parchment paper. First, roll the cookie dough about ½-inch thick, covering most of the parchment paper. Then, take your hands and shape any dough that is sticking out of the rectangle shape.
In a small bowl, add the melted butter, cinnamon, white sugar, and light brown sugar, mixing it to combine. If it is a little stiff, microwave it for about 10 seconds. Then, using half of the filling, spread small spoonsful around the cookie dough rectangle. Now, smear the filling using your hands, leaving a good inch or two around the edges. Time to roll!
To roll, pick up the short end of the parchment paper and start to roll the cookie dough. Gravity helps to make the log. Just before completing the log, cut off a piece of plastic wrap about 4 inches longer on each side than the log, and lay it at the end of the log. Then lift the parchment paper to roll it right onto the plastic wrap. I pat the ends to square off the sides and then wrap them with plastic wrap.
I saw a neat trick where you split a paper towel roll in half and use the half to cradle the log. I was using this method for quite a while until I saw a baguette pan which is what I use now. Refrigerate for 1 to 2 hours. The colder the logs are, the easier they are to slice.
Preheat your oven to 350°F (175°C or 180°C), and line 2 cookie sheet pans with parchment paper and set aside. Take one log roll out of the refrigerator, slice about ½ thick slices, adding 12 to a pan. Give the cookie slices 2 inches between each other; they spread a little—Bake for 10-12 minutes. You want them to be a light golden brown on the bottom. After removing them from the oven, let them sit for a minute before moving them to a cooling rack.