Cut the beef into larger slices to ensure even marinating and faster grilling.
In a bowl, combine the orange juice, lime juice, soy sauce, olive oil, crushed garlic, cumin, oregano, smoked paprika, salt, and pepper. Marinate the beef in this mixture for at least 1 hour, or preferably overnight.
Preheat the grill to high heat, then grill the beef for 3-5 minutes per side, depending on your desired level of doneness.
Let the grilled beef rest for 5 minutes, then slice it into thin strips.
Warm the tortilla wraps, then fill them with the grilled beef, fresh cilantro, and lime wedges.
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