Slice each of the tofu rolls lengthwise into three (3) 1/3-inch rolls. Unroll them so they look like fettuccini.
Add olive oil to a large pan over medium high heat. Next, add onions and garlic and cook until the onions become translucent, about 3 minutes.
Add gochugaru and stir for about 30 seconds, and then add soy sauce and mirin and cook for an additional 1 minute. Then add mushrooms.
Cook mushrooms in soy sauce for approximately 3 minutes, until they start to turn brown. Then, add broccoli, carrots, cabbage, kale, and 1/2 cup water. Cook the vegetables in the broth for about 3 minutes, until cabbage and kale become soft.
Add the tofu "fettuccini" and incorporate the noodles into the vegetables and sauce. Add maple syrup and cook until the sauce reduces down completely, about 4 minutes, mixing the noodles so they are evenly covered in sauce.
Drizzle sesame oil over the noodles just before serving.