Heat the oven to 350 F. Grease and flour a bundt pan or loaf pan.
In a small bowl, combine the all-purpose flour, wheat flour, baking powder, baking soda, and brown sugar. Stir to combine and set aside.
In a large mixing bowl, beat together the bananas, butter, coconut oil, eggs, lemon juice, and vanilla.
Slowly stir in the dry mixture. When no dry lumps remain, stir in 1/2 cup of coconut flakes.
If you're making the bread in a bundt pan, sprinkle 2 tablespoons of coconut flakes on the bottom of the pan and then pour in the batter over the top. If you're using a loaf pan, pour the batter in first and then sprinkle the coconut over the top before baking.
Bake in the preheated ovenfor 40 to 50 minutes for a bundt pan and 50 to60 minutes for a 9x5-inch loaf pan.
Cool on a cooling rack for 5 minutes before the bread out onto the rack to cool completely.
Serve Coconut Banana Bread, warm or chilled.