So after the allowed appeal the SAT didn't challenge the judge's determination and hence it was passed to the embassy to implement the decision. My parents have been contacted by the embassy to re-submit their passports which they did.
So far so good .. however:
My parents are of Syrian citizenship and as result of ongoing unprecedented violence they have fled the country to Lebanon where they submitted their passports many weeks ago. They're stuck obviously being unable to return back home without passports nor can travel to anywhere else. The timeframe for allowed appeal would be 8 weeks from the time it received to the Post, as per the UKBA guidance to the ECO:
"APL2.15.1 What is the timeframe?
Once Post is notified of an allowed appeal, a visa should be issued within 8 weeks from the date of receipt at Post. To issue a visa the appellant will be contacted to resubmit their passport. On the very rare occasions, as specified in ECG (APL 2.5-2.

So more than 8 weeks have been elapsed since my parents were contacted and they are still waiting while the cost of their stay in a country such as Lebanon's steadily increasing.
They were treated in a such loutish and barbarian manner by the security staff when attended the embassy enquiring for update. The visa section won't answer emails nor the receptionist would give any update over the phone. I (son) faxed and emailed the consul complaining about their service but yet to receive any response.
My parents got some far relatives in Jordan and thought it'd be cheaper to live with them while waiting their UK visa. So they requested their passports back to travel hoping the visas might have been stamped. Instead the receptionist handed their documents back shouting that my parents should apply again from the scratch as the whole process has been terminated when my parents withdrawn their passports.
The festive holidays are approaching and I'd have thought all the visa section staff would fly back to the UK to spend the holidays with their families, and eventually my parents status would have been put on hold till after the new year.
I'm just wondering who should I write to complain about the embassy's conduct in Beirut? and how to escalate this unusual situation: Shall I get my MP to write to the embassy directly? or Shall I get in touch with the SOLVIT? Shall I make a formal complaint to the UKBA here? and finally what would happen next?
Looking forward to hear your thoughts.