Heat oil in a skillet over medium heat; saute onion until softened, about 2 minutes. Add carrot to onion and saute until slightly softened, about 2 more minutes. Add mushrooms to onion mixture and saute until mushrooms are slightly tender, about 2 more minutes.
Stir tofu, turmeric, cumin, salt, and pepper into onion mixture; saute until tofu is cooked through, about 2 more minutes.
