You are correct that the files QIA#### are the Archive batch files within Adagio Invoices.

However, the batch control files need to be able to recognize the existance of those archive batches. If you print the Batch Status report, you can see what Adagio expects as the status of those batches. Were the batches deleted within the program, or were the files themselves deleted?

If the latter (deleted files), then you can simply restore the QIA files from your backup.

If the former (batches deleted within program), then the archive batch control files must also be restored. There are 2 files QIACTL'I and QIACTL'R that you need. As you did before, run a DIC prior to processing.