Warm the tortillas briefly in a dry skillet until pliable, then season the shredded meat with salt, cumin, and garlic powder.
Place about 2 tablespoons of meat on each tortilla, roll tightly, and secure with a toothpick.
Fry the rolled flautas in 350°F oil for 3 to 4 minutes until golden and crisp, then drain on paper towels.
Blend green chiles, onion, garlic, chicken broth, and salt until completely smooth.
Simmer the blended sauce over medium heat for 10 to 15 minutes until slightly thickened.
Arrange the hot flautas on a plate and spoon the warm sauce over the top.
Finish with lettuce, crema, cheese, and onion, then serve immediately.