Pre-heat oven to 350 degrees F (180 C). Cream butter and sugars together in bowl of stand mixer (or with hand mixer). Scrape sides of bowl and add coconut cream and applesauce; beat until well combined. Add vanilla, soda, and salt. Add flour one cup at a time and beat after each addition but just until combined. (If you are using a hand mixer you may have to hand stir the last cup of flour into the dough.)
Divide dough into halves and roll one half out on a lightly floured surface into a rectangle roughly 1/4 inch thick. Sprinkle very generously with cinnamon and spread to cover every spot. Roll dough up longways into a large snake shape and use a sharp knife to slice cookies of your desired size. Place each cookie flat on a baking sheet lined with parchment or silpads, about 2 inches apart.
Bake for 8 - 10 minutes until edges start to turn golden brown (or right before for doughy cookies). Remove from oven and cool for about 5 minutes before moving to cooling rack.
Whisk milk and powdered sugar in a small bowl until smooth then add salt and vanilla and drizzle over cooled cookies.
Recipe Notes
If you have trouble findingĀ coconut cream at your local grocery store it's completely fine to useĀ full fat coconut milk and scrape the cream off of the top. Just be sure that it's cold enough to separate.