I would suggest if you want to adopt from lebanon or other muslim counties that you contact the embassy where you live and ask for information. By my understanding there are hundres of children waiting to be adopted in muslim countries but since many of these counties only allow muslims to adopt these children they dont use international adoption agencies.
Have you considered adopting from a non-muslim country? Believe me that there are tens of THOUSANDS of children that need a home around the world and many countries don't care that you are muslim.