Preheat oven to 350 degrees and prepare 8 x 8 baking dish with a natural cooking spray.
Combine coconut oil, applesauce and cocoa in a medium bowl.
Add in flour and sugar. Beat in eggs and vanilla. If using nuts, stir in.
Spread brownie batter in baking dish and bake at 350 degrees F. for 20-25 minutes and until toothpick comes out clean. Start checking brownies at 20 minutes. Mine took about 22 minutes.
Stir frosting ingredients together, after brownies are out of the oven.
Spread frosting, while brownies are still warm and after they have cooled for about 10 minutes.
Let the frosting harden before cutting and serving, about 20 minutes.
Notes
You could leave off the frosting - but I wouldn't! Just cut yourself a smaller slice ;)