Grilled Shrimp and Sausage Skewers with Smoky Paprika Glaze

Shrimp, large

Cherry tomatoes

Garlic cloves, large

Layer sections of red onion, wedges

Thyme, fresh

Black pepper, freshly ground

Paprika, smoked

Red pepper, dried

Salt

Olive oil

Sherry wine vinegar

Vegetable oil spray, Nonstick

1-inch-long pieces Andouille or other fully cooked smoked sausages (such as linguiça; about 16 ounces)

Long metal skewers