The Linda Norgrove Foundation was set up in memory of a Scots aid worker who was killed after being kidnapped by the Taliban.
Ms Norgrove’s parents, John and Lorna, established the charity as a way of continuing their daughter’s work after she died in an attempted rescue by US forces in 2010.
The foundation previously said it has two staff, sisters aged 25 and 29, who were “holed up in their flat in Kabul” after the Taliban seized control of the city.
In a statement on Twitter, it said evacuation attempts had so far failed.
“Thanks to all of you who supported our campaign to evacuate our staff, and to all who worked behind the scenes,” it said.
“Although not successful at this time, we are continuing to support our staff in Kabul and are still working towards their eventual evacuation.”
It added: “After a relentless 46 hours at the airport entrance, either in a bus or a panicky crowd, with incessant gunfire and the constant, real threat of a terrorist bomb, our staff and their family returned home safely.”
Earlier, the charity said the family members of staff that it had tried to evacuate included a nine-month-old baby.
The staff and their families were “just inches away” from evacuation, it said, but efforts were in vain.
It said it would not be giving up its support for women and children in Afghanistan and that it hoped the Government would be able to arrange evacuation over the coming weeks.
With the final withdrawal of US forces from Afghanistan due on Tuesday, violence continued in Kabul.
Rocket fire apparently aimed at Kabul’s international airport struck a nearby neighbourhood on Monday but US military C-17 transport planes continued the withdrawal effort as 20 years of Western military presence drew to a close.
The so-called Islamic State splinter cell, Isis-K, claimed responsibility, days after it launched a devastating suicide bombing at one of the airport gates that killed at least 169 Afghans, 13 US service members and two Britons along with the child of a British national.