They are likely very scared. Cover their cage up with a blanket or towel and let them have some peace and quiet. Everything should be OK in a day or two. Good luck!

It always takes time for finches, any birds really, to get accustomed to their new home. Everything is new, the cage, the area, their food and water, the sounds. Give them more time, making sure it's nice and quiet around them, and they will start to venture around more and be active once again.

They are birds. By their very nature, they are....er...'flighty'...critters. They are very tiny when compared to most other creatures around them..and they know their survival is based upon understanding that. It's instinctive. Keep them in a calm, quiet place. Make no sudden moves in their presence, don't allow kids to bother or tease them, don't use loud equipment like a vacuum cleaner in the same room, and maybe consider covering their cage for part or most of the say. Keep noisy and inquisitive pets away from them as well. Keep their food and water fresh and plentiful...but don't go into their cage more than you absolutely have to. Maybe once a day at most until they are back to normal. Their cage is not only their home...it's also a trap which prevents them from getting away from the huge creature (you) reaching inside. They can injure or kill themselves trying to get away in their fear. And for heaven's sake...do NOT smoke anywhere near them. Smoke evokes a survival instinct to flee from fire. They are not only extremely sensitive to smoke as birds, but they are trapped in a small cage and cannot indulge in their instinct to flee from the smoke. This can kill them. Same for strong odors like nail polish or polish remover. In a few days, they will become acclimated to the new environment and resume normal behavior.