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.
Beat eggs, cottage cheese, milk, sour cream, 1 cup white sugar, butter, cream cheese, vanilla extract, and salt in a large bowl.
Stir egg noodles into cottage cheese mixture, then pour into prepared baking dish.
Combine 1/3 cup white sugar, brown sugar, and cinnamon in a small bowl; sprinkle mixture atop noodle kugel.
Bake in the preheated oven until sauce is bubbly and noodles are golden, about 1 hour. Allow pan of kugel to cool on a wire rack for 10 minutes before serving.