To make the sauce, combine the tamari, mushroom stir-fry sauce, brown sugar and soybean paste in a small bowl and mix until well combined and the sugar has dissolved.
Heat 6 tablespoons (90 ml) of the oil in a pan over medium heat and fry the tofu for 3 minutes on each side until all the sides are golden brown.
Remove from the pan and drain. If needed, add more oil to the pan and fry the eggplant on each side for about 3 minutes or until both sides are golden brown. Remove from the pan and drain well.
Add the remaining 2 tablespoons (30 ml) of oil to a clean pan over medium heat, add the chiles and garlic and fry until golden brown, about 10 seconds.
Add the onion, red and green bell peppers, carrot and vegetable broth and cook, stirring, until well combined and the vegetables have softened, about 1 minute.
Add the fried tofu, fried eggplant, green onions and basil, season with the sauce mixture and stir for 30 seconds to heat through.