Bring a large pot of salted water to a boil over high heat.

Add pasta and cook until al dente, about 7 minutes. Drain and set aside.

Meanwhile, heat a large skillet over medium-high heat. Add sausage and cook until brown on all sides, about 7 minutes.

Add 3 tablespoons water and cook until sausage is cooked through and the water has evaporated, about 8 minutes more.

Remove sausage from the pan and transfer to a cutting board to cool slightly. Cut into 1/2-inch thick slices.

Cut broccoli rabe into 1-inch pieces and add to the hot pan. Cook, stirring occasionally, until it begins to brown, about 7 minutes.

Add garlic and cook, stirring frequently, until lightly browned, about 1 minute.

Add broth and raisins and simmer until broccoli rabe is just tender, about 3 minutes. Add butter, stirring until melted and smooth.

Add pasta and sausage to the pan and toss to combine. Cook until heated through then transfer to serving dishes and top with cheese.