Preheat your oven to 350 ℉
Mill your soft white wheat berries into flour. Sift the flour separating the bran out and place in a small glass bowl. To the bran, add your milk and allow to sit and soften for 20 minutes.
To the rest of the flour, add baking powder, baking soda, salt, and cacao powder set aside.
To the stand mixer, add your eggs, sugar and brown sugar, turn the mixer on low.
Place your coconut oil and butter on the stove in a small sauce pan to melt. Allow to cool slightly.
Slowly pour your melted butter and coconut oil into the mixer while running.
Add yogurt.
Slowly sprinkle in the flour and additional dry ingredients in the mixer. Alternately add the strong brewed coffee.
Finally add your milk and bran to the mixer.
Prepare 3, 9" pans by cutting parchment rounds to fit the bottom of the pan. Spray with oil to coat the sides and parchment. This is a very thin batter. You will want to fill your pans 3/4 of the way. It should fill 3 pans as well as make 6 cupcakes or an additional 6" cake.
Bake for 35-40 minutes until a toothpick inserted comes out clean.Allow to cool completely before removing from the pan. It is a very moist and delicate cake. If you want to freeze for an hour before handling it can help.