Bring a pot of water to a boil. Season water with salt. Once boiling, add pasta.
Two minutes before pasta is done, add broccolini. Drain. Set aside.
Meanwhile, heat oil in a skillet over medium heat.
When hot, add garlic and crushed red pepper. Cook for about a minute to infuse the oil.
Add pre-cooked sausage and brown it a bit, stirring occasionally, for about 3-4 minutes.
Add broth to the hot pan — it will steam and boil! Let it reduce slightly, about 1-2 minutes.
Add pasta and broccolini and toss to coat with the sauce.
Serve equal portions on each plate and top with 1 Tbsp Parmigiano on each.