In a medium bowl, crack the eggs. Remove the white chalazae and lightly stir.

Add the salt and pepper and stir.

Heat a frying pan over medium-low heat and melt the butter.

Pour the egg mixture into the pan.

Occasionally stir the eggs until they turn into a light scramble. Form them into a patty on the pan and cook further until the eggs reach your desired consistency. Divide into two patties using a spatula.

Heat a separate frying pan over medium-low heat.

Place the turkey bacon slices in the pan and grill until one side turns crispy brown. Turn the bacon over and grill the other side until that side also turns crispy brown.

Slice the brioche rolls in half and toast them in a toaster.

Place the egg patty, turkey bacon and cheese between the bread and serve.