Grease a 9x13 inch baking dish. In a medium saucepan over medium heat, combine sugar, brown sugar, butter and evaporate milk. Bring to a boil. Stirring constantly, and boil for 7 minutes. Remove for heat; stir in marshmallow crème’ until well incorporated and melted. Stir in peanut butter and vanilla until smooth; spread in prepared pan. Let cool before cutting into squares.