For the pork and corn:
1 tablespoon paprika
Kosher salt and freshly ground pepper
1 teaspoon packed light brown sugar
1 teaspoon ground cumin
1 teaspoon mustard powder
1/2 teaspoon onion powder
1/2 teaspoon garlic powder
2 teaspoons extra-virgin olive oil, plus more for brushing
2 small pork tenderloins (about 1 1/2 pounds total)
4 ears corn, husked

For the sauce:
3/4 cup apple cider vinegar
3 tablespoons packed light brown sugar
2 tablespoons ketchup
1/2 teaspoon red pepper flakes
Kosher salt