Nice to hear from you again!
It's nearly impossible to make an application for asylum in an embassy. So basically the only way to apply for asylum is by going to the respective country (quite often this has to be done "illegally" because they won't issue a visa for the purpose of seeking asylum).
The United Nations High Commissioner for Refugees (UNHCR) runs a resettlement program. Its purpose is to re-settle refugees (that already sought shelter in a country) to another country. Reasons for that can be that a return to their home country is not likely in the foreseeable future and/or that the conditions in the country that took them in are unbearable.
Preferably they choose refugees that already lived outside of their home country for a longer period of time to end their precarious situation and to enable them to build a new life somewhere else. Also, refugees that are considered to be exceptionally vulnerable (eldery, children etc.) will be chosen primarily. So maybe your friend and his girlfriend have a chance since they are "adulterer/adulteress" with two children.