For the fried rice: Heat a wok over high heat and add 1 tablespoon peanut oil. Add the eggs and scramble, then set aside on a plate.
Add the remaining 1 tablespoon peanut oil to the wok. Add the ginger and diced onion and stir-fry for less than 1 minute. Then add the carrots and stir-fry for 1 minute more. Add the pork and mushrooms and cook for 2 minutes. Then add the peas and cooked rice and toss together. Add the cooked egg back into the wok. Season the mixture with the light soy sauce, liquid smoke, oyster sauce, salt and pepper (to taste). At the very end add the sesame oil. Check the seasoning and adjust to taste with salt and pepper. Garnish with green onions and serve immediately.