Preheat oven to 180°C (approximately 350°F).
Cook spaghetti in plenty of boiling salted water according to package instructions until al dente. Then pour cold water over pasta and drain well. Rinse and halve cherry tomatoes. Cut mozzarella into slices. Peel garlic and press through a press. Cut dried tomatoes into strips. Mix pasta with garlic, olive oil and cherry tomatoes. Roll pasta with a fork into nests and put into greased baking dish. Roll up slices of prosciutto ham and chorizo and put between noodles. Top with dried tomatoes and mozzarella slices. Season with salt and ground pepper and bake until golden brown in preheated oven for 15-20 minutes.
Sprinkle with fresh oregano and serve.