Preheat oven to 350℉/176℃. Grease the pan. For easy removal of the blondies, place parchment paper on the bottom and 2 sides of the pan. Grease again and then set aside. Mash bananas in a bowl and set aside.
Brown the butter: In a medium sized saucepan, add the butter and melt it on medium heat. Once it melts, it will crackle, then become foamy – continue mixing the butter while this happens to prevent burning. The butter will go from melted to golden brown quickly, and you'll know it's almost done when the aroma of browned butter arrives. The whole process should take about 5 minutes! Once golden, remove from heat and transfer to a glass bowl to cool for 20 minutes while you prep the rest of the ingredients.
1/2 cup butter
In a large bowl, whisk mashed bananas, sour cream, brown butter, egg, egg yolk, and vanilla. Whisk until well combined. It may be clumpy because of the bananas and that is ok.
1 1/2 cups mashed bananas, 1 tbsp vanilla, 1/2 cup sour cream, 1 egg, 1 egg yolk
Mix in the dark brown sugar until well combined.
3/4 cup dark brown sugar
Add in flour, baking soda, baking powder, cinnamon, nutmeg, cornstarch, and salt. Using a spatula, gently fold it until well combined and no dry streaks show. Don't over-mix!
1 1/2 tsps baking powder, 1/2 tsp baking soda, 1/8 tsp nutmeg, 3/4 tsp cinnamon, 1 1/2 tsp cornstarch, 1 3/4 cups flour, 1/4 tsp salt
In a small bowl, combine melted butter, cinnamon, and dark brown sugar. Mix until all combined into a grainy mixture.
5 tbsp butter, 5 tbsp dark brown sugar, 1 tbsp cinnamon
Add the banana batter into the prepared pan and spread evenly. Dollop cinnamon filling on top. Using a toothpick or knife, gently swirl around a few times. Don't over-swirl!
Bake the banana cinnamon roll cake for 45-60 minutes. A toothpick inserted should come out clean with a few crumbs, no wet batter should be on the toothpick. If there is wet batter, keep baking for 5 minute intervals, checking after each 5 minutes.
While the cake cools, make the icing by combining powdered sugar and lemon juice. Add lemon juice 1 tsp at a time until your desired consistency is reached.
1/2 cup powdered sugar, 1-2 tsp lemon juice
Once the cake is cooled, drizzle, slice, and enjoy!