Preheat oven to 425 degrees F. Line a baking sheet with parchment paper.
Make garlic labneh. Combine labneh with garlic and lemon juice. Season with salt and pepper and let sit for 30 minutes or overnight.
Prepare salsa verde. Combine chopped parsley with olive oil, lemon juice, red wine vinegar, garlic, fennel, coriander, and red chili flakes. Season with salt and pepper and set aside.
Combine mole spices for salmon including chili powder, aleppo pepper, paprika, cumin, brown sugar, black pepper, salt, oregano, cocoa, and sugar. Sprinkle 2 tablespoons evenly over the salmon and drizzle 1 tablespoons olive oil on top. Let sit for 10 minutes.
Bake salmon for 12-15 minutes or until fish flakes easily. Remove from oven and let rest for 10 minutes.
Spoon garlic labneh on serving plate and spread in an even layer. Lay salmon on top and drizzle pomegranate molasses on top. Spread salsa verde on top and serve extra salsa on the side. Serve immediately.