Check out the recommendations on
https://www.reddit.com/r/dubai/comments/1qjq9ti/looking_for_a_reliable_car_repair_shop_in_dubai/ - there's a whole discussion about reliable mechanics in Dubai. Golden Horse came up several times from people who had transmission and suspension work done. What I learned from that thread is to avoid places that quote you immediately without proper diagnostics. Good garages will test drive your car and run diagnostics before giving you a price. For transmission issues especially, you want someone with proper diagnostic equipment not just someone who'll rebuild it blindly.