In a medium bowl, whisk together minced shallot, minced garlic, red pepper flakes, white wine vinegar, kosher salt, and black pepper until well combined. Gradually drizzle in extra-virgin olive oil while continuing to whisk, ensuring the mixture becomes smooth and emulsified. Fold in the fresh basil and parsley. Set aside.

Slice the zucchini into ½-inch thick slabs and place them on paper towels for about 10 minutes to absorb excess moisture. Wash and prepare the mini sweet peppers by cutting them in half and removing the seeds.

Drizzle olive oil over the zucchini slabs and mini sweet peppers. Sprinkle garlic powder, kosher salt, and black pepper over the veggies, ensuring an even coating.

Preheat your grill to 400°F (200°C). Grill the vegetables for about 6-8 minutes, turning them occasionally until they are charred and tender. Transfer to a serving plate.

Tear the burrata into chunks and place it alongside the grilled zucchini and peppers. Drizzle the chimichurri sauce all over the warm vegetables and burrata, and garnish with extra basil leaves. Serve immediately.