Heat a large skillet over medium-high. Add turkey and mushrooms to the skillet, and cook until turkey is done and mushrooms have released their juices, about 10 minutes.
Add in garlic and ginger, and cook for 2 minutes, stirring often.
Meanwhile, in a small bowl, whisk together the hoisin sauce, tamari sauce, rice vinegar, sriracha sauce, and sesame oil. Set aside.
Transfer the cooked turkey mixture to a large bowl. Pour half of the sauce (about ⅓ cup) in the turkey mixture, and mix everything together. Reserve the remaining (⅓ cup) of sauce for serving.
Serve turkey mixture in lettuce leaves with sauce. Enjoy!