In a small bowl, whisk together the soy sauce, sugar, sesame oil, ginger, and Sriracha to create the sauce.
In a large pot of boiling water, cook noodles according to package instructions; drain and set aside.
Heat olive oil in a large skillet or wok over medium-high heat.
Add garlic, mushrooms, bell pepper, and carrot to the skillet. Cook, stirring frequently, until tender, about 3 to 5 minutes.
Stir in the snow peas and spinach until the spinach has wilted, about 1 to 2 minutes.
Stir in the cooked noodles and the prepared sauce mixture.
Gently toss the ingredients until well combined and heated through. Serve immediately.