Preheat the oven to 350 degrees and line an 8x8 baking dish.
Prepare the egg replacer according to the directions on the package (make enough for 2 eggs) and set it aside.
To brown the vegan butter: Place the butter in a saucepan over medium heat. Stir continuously for 10 minutes until it browns. Remove from the heat and let it cool. Do not let it soldify. Stir in the brown sugar and mix until combined. Add the egg replacer and stir until combined. Stir in the flour, baking powder, and cinnamon. Fold in the chocolate chips and walnuts.
Pour the batter into the lined pan and bake for 25-28 minutes or until the edges are golden.
Cool in pan for 10-15 minutes and then transfer to a cutting board for slicing. This recipe yields 24 servings.