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Experts who are carrying out the dig in Tuam have published their latest regular update.
The institution for unmarried mothers and their children was in operation from 1925 until 1961.
It came to international attention in 2014, after local historian Catherine Corless discovered there were 796 death certificates for children and babies who died there, but no burial records.
The excavation began a year ago, and the new update covers a period of around six weeks until 15 July this year.
The 22 remains were found in coffins, in an area on the south-western edge on the site, which was identified in historical documents as a "burial ground".
The bodies are being taken to a new mortuary and laboratory in Toghermore in Tuam.
The facility been fitted out by the agency carrying out the excavation, known as the Office of the Director of Authorised Intervention, Tuam (ODAIT).
The agency said experts would clean, dry and examine the remains "with the goal of reconstructing details of their lives and deaths", potentially including their age and sex.
The process will include radiology and 3D scanning.
ODAIT explained: "These details may narrow the number of possible matching individuals and help to connect a skeletal individual with a name."
Sixty-two people have now given DNA samples to help with identifying remains.
Full excavation has not yet begun in the area of a memorial garden, where in 2017 investigators found "significant quantities" of remains in underground chambers.
The institution at Tuam was owned by Galway County Council and run by a religious order, the Bon Secours Sisters.
The order has previously acknowledged that children and infants were "buried in a disrespectful and unacceptable way", and apologised.
It has contributed £2.14m towards the cost of the excavation.
Galway County Council also apologised for "failing mothers and children" after the inquiry report in 2021.
The excavation is expected to continue until 2027, with follow-up work expected to last several more years.