In a large bowl, combine the chili sauce, soy sauce, lime juice, vegetable (or sesame) oil, Sriracha, ginger, and garlic. Whisk together to combine.
Add chicken breasts to the bowl, and toss to marinate for 5-10 minutes.
Heat a large grill pan over medium heat. Add the chicken breasts, and cook until golden with grill marks and no pink remaining, about 8 to 10 minutes per side. Transfer the chicken breasts to a plate to cool down. Next, thinly slice the chicken.
Build your romaine or butterhead lettuce cups: Fill lettuce cups with chicken, and garnish with toppings of your choice: sliced onions, shredded carrots, crushed peanuts, or cilantro.
Serve and enjoy.