If the skillet seems dry, add another slick of oil over medium heat. Once hot, add the onions and mushrooms and cook, stirring regularly, for 8-9 minutes until well-browned and and softened.
Pour the vermouth into the pan and scrape up any browned bits stuck to the bottom of the skillet. Bring to a boil and then reduce heat to low. Stir in the caperberries.
Mount the chilled butter in the pan, swirling it around until it is fully combined into the warm sauce and the sauce takes on a glossy, thickened appearance.