Beat sugar and coconut oil until smooth. Add in the applesauce, egg, and vanilla and beat until combined.
Add the dry ingredients and mix on low until the dough comes together. Use paddle attachment on a stand mixer.
Gather the dough into a ball and refrigerate dough for 1-3 hours. The dough should be firm, but pliable when ready to bake. If it is too hard, let sit at room temperature for 10-20 minutes as needed.
When ready to bake, mix together the filing ingredients in a small bowl and set aside.
Preheat oven to 350F. Line baking sheets with parchment paper.
Flour a large square of parchment paper and roll out the dough on it to roughly a 9x9-10x8 rectangle.
Spread the cinnamon-sugar filling evenly over the dough.
Use the parchment paper to help you start the rolling process and roll into a tight log. If the dough feels like it has gotten to warm and soft, pop in the freezer for a few minutes to harden up before cutting.
Cut the log in ½ inch increments. Place 2 inches apart on a baking sheet and bake for 12-14 minutes, until edges are golden.
Let cook on baking sheet for 5-10 minutes before transferring to a wire rack to finish cooling.
While cookies cool, make the icing by mixing everything together until you have a smooth, runny glaze.
Drizzle glaze over COOLED cookies. Enjoy!