First make the sauce by adding all the sauce ingredients into a small bowl. Stir until well combined. Set aside until ready to use.
In a large wok or skillet, heat 2 Tbsp of avocado oil over medium heat. Crumble pressed tofu into the wok. Sauté and cook until browned, stirring every few minutes. Remove tofu and set aside.
In the same wok, add 1 Tbsp avocado oil over medium heat. Add the mushrooms, onion, garlic, and ginger. Sauté and cook until mushrooms release liquid and soften.
Add the carrots, cabbage, green onions, and cashews. Sauté for 2-3 more minutes. Add the sauce over everything and sauté until well combined. Cook for another 2 minutes. Taste and adjust flavors if needed.
Assemble lettuce wrap bowls. Add desired amount of lettuce, rice, tofu mixture, shredded purple cabbage, green onions, and sesame seeds in a bowl. Enjoy!