Preheat the oven to 200°C | 400°F. Spray a baking sheet or tray with non stick cooking oil spray.
Arrange the broccoli and green beans on the baking sheet.
Top with 1/4 cup of parmesan cheese, and drizzle with the olive oil and lemon juice. Add the minced garlic and salt and pepper to suit your tastes; mix together well until all of the vegetables are evenly and completely covered in dressing.
Spread the veggies out in a single layer, transfer to oven and roast for 20 minutes.
After 20 minutes, carefully remove the sheet from the oven and add the tomatoes to the pan. Give the veggies a mix through (flipping any that are crisping or browning), and return to the oven, rotating the pan if necessary to cook evenly. Continue to roast for an additional 15-20 minutes, or until the broccoli is cooked through (the florets will have a nice crisp edge).
Top with the remaining 2 tablespoons of parmesan cheese and serve immediately!