Hello @Վահագն Մուրադյան ,
Thank you for reaching out Microsoft Q&A.
I understand that you want to transfer Authenticator app data from an Android phone to an iPhone. However, backups and restores are limited to the same device type. For example, accounts backed up on an iOS device cannot be restored on an Android device, and vice versa. This process is only possible between devices of the same type.
For additional information: https://support.microsoft.com/en-us/account-billing/back-up-account-credentials-in-microsoft-authenticator-bb939936-7a8d-4e88-bc43-49bc1a700a40#ID0EBJ=Android
Since you're unable to back up the registered accounts in the Microsoft Authenticator app, I recommend adding alternative authentication methods to your work or school accounts using another device.
You can follow the steps:
Click https://aka.ms/security-info
From the above you can choose authentication type you want and follow the prompts and add it in your new device.
Hope this helps. Do let us know if you any further queries.
If this answers your query, do click Accept Answer
and Yes
for was this answer helpful. And, if you have any further query do let us know.
Regards,
Goutam Pratti.