Sent folder glitch

Sent folder glitch

We recently migrated our mails in the zoho.eu server.
One of our users complained that the "sent" folder was not correctly migrated, as there were no result but for the mail sent after the migration. This seemed weird as the migration data matched the old servers.

In the "sent" folder indeed this was true, there were no old emails, however after further investigation I noticed that in the "all messages" folder I was able to find all the messages. The difference between the messages in the "sent" folder, and the old sent messages that were not in the "sent" folder is in the category itself "SENT" and "SENT MESSAGES" respectively.
So how do I update all the messages with the "SENT MESSAGES" category  to change it to "SENT" or else how do I create a filter to fix this issue? I tried to create a filter, but the exposed options were not helpful.