Bring a large pot of lightly salted water to a boil. Cook egg noodles in the boiling water, stirring occasionally, until cooked through but firm to the bite, about 5 minutes.
Drain.
Stir melted butter and noodles in a large bowl.
Mix apples, egg yolks, sugar, raisins, cinnamon, and vanilla extract into noodle mixture until well blended.
Beat egg whites in a large bowl until stiff peaks form. Lift your beater or whisk straight up: the egg whites should form a sharp peak that holds its shape.
Fold egg whites into noodle mixture; pour into prepared baking dish.
Bake in the preheated oven until browned, about 40 minutes.