Trim top and bottom off eggplant then cut into 1-inch planks and dice into bite-sized cubes. Place the eggplant on kitchen towels and salt it, let stand 20 minutes then pat dry.
Bring a large pot of water to a boil for the pasta.
Heat a large skillet over medium-high heat with 1 tablespoon olive oil, 1 turn of the pan. Add sausage, brown and crumble then remove to plate. Add remaining oil, 2 turns of the pan, and eggplant, and brown 5 minutes, season with pepper. Add garlic and sage, and stir a minute then add tomato paste and stir to incorporate. Add wine and reduce heat to a simmer, add reserved sausage.
Salt boiling water and cook pasta to al dente, adding a mug of salty water to the sauce before draining, about 1 cup. Remove sauce from heat. Drain pasta and toss it with the sauce. Adjust seasoning, adding a fat handful of grated Pecorino cheese and a fat drizzle EVOO. Serve pasta in shallow bowls and pass extra cheese at table.