Preheat oven to 350 degrees. Line a loaf pan with parchment paper. Set aside.
In a small bowl, combine the flour and baking soda. Set aside.
In the bowl of a standing mixer, cream the butter and sugars at medium speed for 2 minutes.
Add the eggs and vanilla bean paste and continue beating for another minute.
Reduce mixer speed to low, add the flour and baking soda to the butter mixture and mix until combined, scraping down the sides as needed.
Add the mashed bananas and yogurt and mix until just combined.
Pour the batter into the prepared loaf pan. Place the halved banana on top of the batter.
Bake for 55 - 60 minutes or until a toothpick inserted into the middle comes out clean.