Pasta with roasted vegetables

Ingredients (for 4 servings, all readily available in Poland):
300 g penne pasta (or other short pasta)
1 medium zucchini
1 eggplant
1 red bell pepper
1 yellow bell pepper
10-12 cherry tomatoes
1 medium red onion
3 tablespoons olive oil
salt, pepper, oregano, dried basil
150 g yellow cheese (e.g., Gouda, Edam, or grated mozzarella)
200 ml 30% cream or béchamel sauce
Preparation: