Season the chicken fillets with salt and pepper on both sides. Dip them first in flour, then in the whisked eggs, and finally in bread crumbs, covering both sides. Fry the fillets in a pan with hot oil until the bread crumb coating is golden brown.
Mix the ricotta and the egg into a cream.
Cover the bottom of a casserole dish with a thin layer of tomato sauce. Sprinkle some oregano on top. Lay out three sheets of lasagna onto the sauce. Spread some of the ricotta and egg mixture over these. Add three of the chicken fillets and cover them with a mixture of both types of cheese. Repeat the layers: tomato sauce, lasagna sheets, more ricotta cream, chicken fillets, cheese, tomato sauce, and then cheese to finish.