Grease a 9×13 inch baking dish.
In a medium pan over medium heat, combine sugar, brown sugar, butter and evaporated milk.
Bring to a boil, stirring constantly, and boil for about 7 minutes.
Remove from heat; stir in marshmallow creme until well incorporated and melted.
Stir in peanut butter and vanilla until smooth; spread in prepared pan.
Let the mixture cool before cutting into squares.