In a medium mixing bowl, whisk together the soy sauce, lime juice, 1 tablespoon of canola oil, minced garlic, chili powder, cumin, and oregano.
Place the steak pieces in a gallon-size resealable bag or large bowl, and pour in the marinade. Seal the bag, removing excess air, and turn it a few times to evenly coat the steak. Let it marinate for at least 1 hour and up to 4 hours in the refrigerator, turning occasionally.
Heat the remaining tablespoon of canola oil in a large skillet over medium-high heat. Add the marinated steak along with any excess marinade, cooking while stirring frequently until the steak browns and the marinade reduces, about 5-6 minutes, or until your preferred level of doneness is reached.
Arrange the cooked steak onto warmed tortillas, and top with diced onion, chopped cilantro, and a squeeze of fresh lime