Preheat oven to 375 degrees F.
Separate the egg whites from the yolks. In a food processor blend the egg yolks, half of the egg white mixture, melted butter, and MCT oil until smooth. Pulse in the almond flour, coconut flour, baking powder and salt until combined. The mixture will be thick.
Add the remaining egg whites and pulse until fully combined. Do not over-mix or bread texture will be tough.
Pour mixture into an oiled 8 x 4 loaf pan. Bake for about 30 minutes. Test with a fork to see if the bread is cooked through. Cool on a wire rack for 5 to 10 minutes before slicing.