Place zucchini, summer squash, onion, green beans, pepper, cherry tomatoes, and sausage in a large bowl or resealable bag. Set aside for a moment.
In a small bowl, whisk together vinegar, olive oil, honey, garlic, and oregano. Season with salt and pepper to taste.
Pour marinade over vegetables and toss evenly to coat. Cover bowl or seal bag and allow vegetables and sausage to marinate in refrigerator 2 hours or up to 12, tossing vegetables around to coat in marinade occasionally.
Preheat a grill to 400F. Remove vegetables from refrigerator and arrange in a single layer in a large grill pan, basket, or sheet of aluminum foil. Grill vegetables, turning and tossing occasionally until vegetables are tender and slightly charred, about 8-10 minutes of cooking.
Season vegetables with salt and pepper to taste and top with fresh basil. Serve warm and enjoy!