Melt the coconut oil in the microwave or in a saucepan on the stove. Remove from heat, add chocolate and let stand until melted. Return to microwave or heat for a few seconds if necessary
Transfer chocolate mixture to a bowl. Add applesauce, soy milk and vanilla extract. Mix well and set aside.
In another bowl, combine flour, white sugar, brown sugar, nuts, cocoa powder, baking soda and salt
Add the liquid ingredients to the dry ingredients. Beat mixture for 1 minute with electric mixer.
Pour into an 8 x 8 inch square pan lined with parchment paper and bake for 30 minutes.