Preheat the oven to 400ºF. Line a baking sheet with parchment paper or a silicone baking mat.
Peel the hard-boiled eggs. Place the 2 raw eggs in a bowl and beat lightly.
Divide the sausage into 6 equal portions and shape into thin patties. Shape the sausage patties around the hard-boiled eggs.
Place the breadcrumbs in a shallow bowl or on a plate, add the salt and pepper, and mix. Roll the sausage-covered eggs first in the beaten egg mixture, then in the breadcrumbs, pressing lightly so the crumbs adhere. Place on the prepared baking sheet. Brush the eggs with some oil and bake for 30 minutes or until golden brown.