Mix all sauce ingredients in a bowl.
Thinly slice sausages, tofu, and mushrooms. Slice spring onion and set aside separately.
Place sausages, tofu, mushrooms, kimchi, and baked beans in a shallow pot. Place the sauce in the middle and pour over stock and water.
Cover with a lid, bring to the boil on medium-high heat and simmer for 3 minutes.
Add noodles to pot and cook for a further 3 minutes, or until noodles and meat are cooked.
Top with cheese and sprinkle over spring onion.
Serve with a bowl of rice, if desired.