Heat 1 tablespoon of vegetable oil in a large skillet or wok over medium-high heat. Add the mixed vegetables and sauté for about 3-4 minutes until they are tender.
Push the vegetables to one side of the skillet and add the remaining tablespoon of oil. Pour in the beaten eggs and scramble until fully cooked. Mix the eggs with the vegetables.
Add the cooked rice to the skillet, breaking up any clumps. Stir in the shredded chicken, BBQ sauce, soy sauce, garlic powder, salt, and pepper. Cook for about 5-7 minutes, stirring frequently, until everything is heated through.
Stir in the sliced green onions and cook for an additional minute. Taste and adjust seasoning if necessary.
Remove from heat and serve hot.