Mix together all sauce ingredients in a bowl and set aside.
Prepare rice noodles according to package directions, leaving slightly al dente. Drain and set aside.
Scramble eggs in a large skillet or wok until completely cooked. Remove eggs from pan and set aside.
Add oil to the same pan and heat. Add minced garlic, carrots, and mushrooms. Cook for 2-3 minutes.
Add sauce mixture to pan and stir to combine.
Add green onions, scrambled eggs, chicken, shrimp, and peanuts to pan. Cook and stir for about 2 minutes until heated through.
Add cooked noodles and bean sprouts to pan. Cook for approximately 2 minutes more, tossing to combine.
Serve immediately with lime wedges and crushed red pepper flakes on the side.