Preheat the oven to 400 degrees F and coat a baking sheet with cooking spray.
Mix 1 tablespoon of the olive oil with garlic powder, 1 teaspoon salt, 1/2 teaspoon pepper, paprika, olive oil, and pomegranate molasses in a bowl. Place the salmon fillets on the sheet pan. Brush the mixture evenly over the salmon fillets.
Spread the green beans, small peppers, and red onions on the sheet pan around the salmon. Drizzle with 2 tablespoons olive oil olive oil, 1/2 teaspoon salt, and 1/2 teaspoon pepper.
Roast in the oven for 20-25 minutes, until the salmon is cooked through and vegetables are tender.
While the salmon roasts, make the pomegranate salsa by mixing the pomegranate arils, finely diced red onion, chopped cilantro, lime juice, and salt in a bowl.
Transfer the roasted salmon and vegetables to a platter. Spoon the fresh salsa generously over the top and serve.