Preheat your oven to 350°F (177°C). Grease a 9x13 inch pan or line it with parchment paper.
Whisk together mashed bananas, buttermilk, eggs, vanilla, and melted butter in a large bowl.
In another bowl, combine flour, granulated sugar, brown sugar, baking soda, baking powder, and salt.
Add dry ingredients to the wet mixture. Stir until just combined. Don’t overmix—let it be a little lumpy.
Pour batter into the prepared pan. Bake for 30–35 minutes, or until a toothpick comes out clean.
Cool completely before frosting.