Place a grill pan over medium-high heat or preheat a gas or charcoal grill.

In a food processor, pulse together the garlic, sun-dried tomatoes, basil, cheeses, tomato paste, red pepper flakes, salt, and pepper. Process until blended. Transfer the mixture to a large bowl. Add the beef and, using a wooden spoon or clean hands, stir until combined. Form the mixture into 8 (4-inch diameter) patties, each about 3/4-inch thick. Grill each side until cooked through, about 5 minutes. Allow to rest for 5 minutes.

Brush the cut side of the rolls with olive oil and grill until lightly toasted, about 1 minute.

Place the burgers on the bottom half of the rolls and add desired toppings. Add the top half of the rolls and serve.