In a large mixing bowl, mash bananas until there are no large lumps. Mix in eggs, brown sugar, and sugar. Mix until blended.
Add yogurt, butter, olive oil, and vanilla extract. Mix until blended.
Mix all dry ingredients until combined but don't over mix.
In a lightly greased loaf pan with butter, pour 1/3 of the batter into the pan evenly. Place Oreo cookies. Pour another 1/3 of the batter into the pan, and place more Oreo cookies. Pour remaining batter into the pan.
Bake at 350 F for 45-50 minutes until toothpick insert comes out damp but not runny. Cool completely before slicing.