In a large mixing bowl, combine dry ingredients.
In a small bowl, combine yeast, water and milk and let set for about five minutes.
Add egg, applesauce, oil and vanilla to yeast mixture. Start mixing dry ingredients on medium speed and slowly add in liquid ingredients. Mix for about 2 minutes.
On a lightly floured surface, pour out dough. Sprinkle a small amount of flour onto dough to keep it from being sticky. Roll out into a large rectangle about 1/4″ thick.
Drizzle coconut oil over dough and sprinkle with brown sugar and cinnamon. Tightly roll up dough lengthwise to get a long log. Cut into about 1/2″ rolls.
Unroll each roll and carefully twist dough. Place dough twists onto a greased baking dish, preferably a 9×13 cake pan.
Cover pan with a towel and let rise for about 30 minutes. Bake at 350F for about 20 minutes or until slightly brown.
Meanwhile, combine icing ingredients and whisk until smooth. Remove rolls from oven and let cool about 10 minutes. Drizzle with icing and serve.**NOTE: Make the twists the night before and let rise overnight. Bake as normal in the morning when you are ready!**