Prepare pasta according to package directions. Drain. Set aside.
At the same time, if you are able, Add butter, 2/3 cup milk, Parmesan cheese, feta cheese and white pepper to a large pot.
Place over medium heat and, stirring, bring to a boil. Make sure cheese has melted and remove from heat.
Lay prepared noodles out flat on a work surface.
Spoon and spread a thin layer of cheese/milk mixture over top of each noodle.
Fold/roll noodles into 2-inch pieces (See photo above).
Place rolls in a dish in a way that will maintain their shape. Place something heavy on top, if needed.
Place in the freezer to chill for at about 1 hour.
Take the rolls out of the freezer. Cut the pieces in half long-ways (Again see photo above).
Heat vegetable oil in a pot, Dutch oven or deep fryer to 350°F
In a medium bowl add 1/4 cup milk and egg. Whisk to mix well.
Place bread crumbs in another medium bowl.
Dip each prepared roll in the milk/egg mixture, rolling to cover completely, then into the bread crumbs, rolling to fully coat.
Place a few rolls in hot oil and fry for about 4 minutes. Remove to a paper towel-covered plate to drain. Repeat until all rolls are fried.
Spread Alfredo on the bottom of the serving plate or plates.
Place rolls in the sauce, open side up (Yes, once again see photo above).
Drizzle marinara sauce on top.
Sprinkle with grated or shredded Parmesan cheese and chopped basil.
Serve hot with additional Alfredo, marinara and/or other dipping sauces, if desired.