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Preheat the oven to 350. Grease two 8x4 pans.
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In a small bowl, mash bananas (or, puree the bananas in a food processor). Set aside.
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In a large bowl, cream butter, sugar, and brown sugar together until light and fluffy.
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Add in the eggs, one at a time, beating well after each addition. Add in vanilla extract and mix until combined.
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Add in flour, cocoa powder, salt, and baking soda, then mix until combined.
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Add in mashed bananas, mixing until incorporated.
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Divide the batter evenly between the two prepared loaf pans.
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Bake for 35-40 minutes, or until a cake tester comes out clean with just a few moist crumbs stuck to it. (If the outside of the bread is cooking faster than the inside of the bread, tent a piece of foil over the bread while it finishes cooking).
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Allow to cool for 10 minutes. Move to a wire cooling rack.