Prepare the Slaw:
In a large mixing bowl, combine the shredded green and red cabbage, julienned carrot, thinly sliced red onion, and chopped cilantro.
In a small bowl, whisk together the lime juice, apple cider vinegar, olive oil, salt, and pepper. Pour this dressing over the cabbage mixture and toss well to coat. Set aside to let the flavors meld.
Prepare and Grill the Shrimp:
Preheat your grill or grill pan to medium-high heat.
In a bowl, toss the shrimp with olive oil, smoked paprika, garlic powder, onion powder, cayenne pepper (if using), salt, pepper, and lime juice.
Grill the shrimp for about 2-3 minutes per side, or until they are pink and opaque. Be careful not to overcook them.
Assemble the Dish:
Place a generous portion of the cabbage slaw on each plate.
Top with the grilled shrimp.
Garnish with extra cilantro and a wedge of lime, if desired.