Preheat the oven to 350F. Spray a 9 x 5-inch loaf pan with a nonstick spray. Sugar the inside of the pan with ¼ cup of the Demerara sugar (or regular sugar if you don’t have Demerara), tapping out any excess.
In a medium bowl, whisk the flour, cocoa powder, baking soda and salt together; set aside.
Using an electric mixer and a separate medium bowl or a stand mixer fitted with the paddle attachment, beat the butter, granulated sugar, light brown sugar and vanilla on high speed until the mixture is super light and fluffy, about 3 to 5 minutes. Using a spatula, scrape down the sides of the bowl and add the egg. Beat until well combined and the mixture returns to that previously light, fluffy state, about 2 minutes. With the mixer on low, slowly add the dry ingredients and beat just to blend. Using a spatula, fold in the mashed bananas, followed by the mascarpone, mixing just to blend.
Pour the batter into the prepared loaf pan, smoothing the top. Place the banana halves, cut-side up, on top of the batter. Sprinkle with the remaining ¼ cup Demerara sugar and bake until the sides start to pull away and the cake is baked through in the center (it’s a very dense, moist cake, but it should still spring back slightly when pressed in the center), about 90 to 100 minutes.
Let cool completely before slicing.
