Activate the Yeast: In a small bowl, combine 1 cup of warm water and 2 tablespoons of sugar. Stir until the sugar dissolves.

Sprinkle the dry yeast over the water and let it sit for about 5-10 minutes, or until it becomes frothy. This indicates that the yeast is active.

Combine Wet Ingredients: In a large mixing bowl, whisk together 1 cup of milk and 1/2 cup of vegetable oil.

Add 2 eggs to the mixture, beating them well.

Incorporate Dry Ingredients: Add the frothy yeast mixture to the bowl.

Gradually add 6 cups of flour, 1 teaspoon of salt, mixing continuously until the dough begins to come together.

Knead the dough on a floured surface for about 5-7 minutes, or until it becomes smooth and elastic.

Let the Dough Rise: Place the dough in a lightly oiled bowl, covering it with a clean kitchen towel or plastic wrap.

Let it rise in a warm, draft-free area for about 1-1.5 hours, or until it has doubled in size.

Preheat the Oven: Preheat your oven to 375°F (190°C).

Divide and Shape: Punch down the dough to release air bubbles.

Divide the dough into equal portions, shaping each into a round roll or ball.

Place the rolls onto a greased baking sheet or lined with parchment paper.

Prepare the Egg Wash: Beat the reserved egg yolks in a small bowl.

Apply the Egg Wash: Brush the tops of the rolls with the beaten egg yolks for a golden finish.

Add Toppings: Sprinkle shredded cheddar cheese over the top of each roll.

Add slices of sausage and any optional toppings like tomatoes, peppers, or olives.

Bake the Rolls: Bake in the preheated oven for about 20-25 minutes, or until the rolls are golden brown and cooked through.

The cheese should be melted and bubbly, and the rolls should sound hollow when tapped on the bottom.

Cool the Rolls: Remove the rolls from the oven and allow them to cool slightly on a wire rack before serving.

Serve: Enjoy the rolls warm, or at room temperature. They are perfect on their own or as an accompaniment to soups, salads, or any meal.