In a large bowl, add the sugars, vanilla, espresso powder, and cooled brown butter. Cream together with an electric hand mixer until light and fluffy, 1-2 minutes. Add the egg and yolk and beat until incorporated.
Add the dry ingredients, about of the mixture at a time, and beat between additions until just incorporated. Its okay for there to be a bit of unmixed flour on the edge of bowl, this will be incorporated in the next step.