In a Facebook post on Saturday, Cuan Wildlife said they were released to a private pool where they will continue to be monitored.
The cygets have “complete freedom” to leave if they wanted to, the post continued, or when they were ready to find partners and their own territories.
Centre workers thanked people for helping to raise funds and awareness, adding: “All of you helped to make this happen and for us to bring a positive story from a sad situation.”
The two swans who were killed were initially believed by West Mercia Police to have been shot with an air rifle.
The force later confirmed, after seeking advice from animal experts, they were killed by another animal and no criminal activity was involved.