Brown the Butter: Cut butter into cubes and place in a heavy saucepan over medium heat. Stir constantly as the butter melts and begins to foam. Continue stirring until the butter turns golden brown and develops a nutty aroma. Immediately remove from heat and transfer to a heat-safe bowl to cool.
Prepare Dry Ingredients: While the brown butter cools, sift together the flour, cinnamon, and baking soda in a medium bowl, ensuring there are no lumps and all ingredients are well combined.
Preheat and Prepare Pan: Preheat oven to 350°F (175°C). Line a 9×9 inch baking pan with parchment paper, leaving extra paper hanging over the sides to create handles for easy removal. Lightly spray with non-stick cooking spray to prevent sticking.
Mix Wet Ingredients: In a large bowl, combine the cooled brown butter, mashed banana, brown sugar, granulated sugar, eggs, and vanilla extract. Whisk until well combined and smooth, making sure the banana is fully incorporated.
Combine Wet and Dry Ingredients: Add the sifted dry ingredients to the wet ingredients. Fold together gently with a spatula until just combined, being careful not to overmix to ensure tender cookie bars.
Add Mix-ins: Gently fold in the semi-sweet chocolate chips, milk chocolate chips, and toffee bits until evenly distributed throughout the dough, creating pockets of melty goodness throughout the bars.
Transfer to Baking Pan: Spread the cookie dough evenly into the prepared baking pan, smoothing the top with a spatula to ensure even baking and a uniform thickness.
Add Toppings: Sprinkle additional chocolate chips and toffee bits over the top of the dough, gently pressing them in slightly to secure them to the dough surface while maintaining visibility.
Bake: Bake for 30-35 minutes, until the top is golden brown and the center is mostly set but still slightly soft. The edges will be more firm than the center, which is desirable for the perfect texture.
Final Garnish: While the bars are still warm (but not hot), sprinkle more chocolate chips and toffee bits on top, allowing them to soften slightly from the residual heat for a decorative finish.
Cool Completely: Allow the cookie bars to cool completely in the pan. This is important for the bars to set properly and achieve the right texture, ensuring clean cuts when serving.
Cut and Serve: Once completely cooled, use the parchment paper handles to lift the bars out of the pan. Cut into 9 equal squares and serve for a delicious treat.