Remove the sausage from its casing, crumbling it into small chunks.  Brown the sausage and minced garlic over medium-high heat.  While the sausage cooks, season to taste with the pepper and chili flakes, and prepare the fettucine according to package directions.

In small mixing bowl, beat the eggs and the egg yolks together.  Add the grated parmesan and parsley and whisk the egg mixture well.

Prepare your mixing bowl for the final steps:  you can fill a large mixing bowl with very hot water while you cook the pasta and sausage.  You can also strain the finished pasta over the large mixing bowl so that the boiling pasta water quickly heats the bowl for you, just remember to empty the bowl of the hot water before transferring the cooked pasta to it.

Transfer your cooked pasta to the warm mixing bowl.  Add the egg mixture and quickly toss together to coat the pasta with the egg, then add the sausage and shredded cheese.  Serve immediately.