In a saucepan, heat oil over medium heat. Add onion, garlic, carrot, and celery. Cook vegetables until softened, 5 to 7 minutes. Add tomatoes; cook vegetables until very tender, about 10 minutes more. Add tomato paste, molasses, honey, sugar, mustard, cumin, 1 teaspoon salt, 1/4 teaspoon black pepper, cayenne pepper, and 2 cups water; stir to combine. Simmer gently until thickened, about 30 minutes. Transfer to the bowl of a food processor or blender; puree until smooth. Refrigerate until ready to serve.
Preheat a grill or grill pan to medium hot. Season fish with remaining 1/2 teaspoon salt and 1/4 teaspoon pepper. Brush generously with sauce. Grill until fish is cooked through, 2 to 3 minutes per side. When fish is done, remove and discard skin. Serve over pilaf drizzled with reserved sauce.
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