recover xbox 360 data

If you didn't use your account for more the 5 years, it could be somehow deleted. This was done since a year ago...

Hopefully this isnt done with your account.

The 360s allowed for what was called offline profiles which means there was no MS account attached to it and all the game saves and everything were saved to the local console this is what it sounds like you are talking about here.

It is possible to turn that offline profile into an online profile as long as you have access to the 360 console that profile was on and follow the steps in the following support article.

https://support.xbox.com/en-US/my-account/manage-gamertag-and-profile/offline-profile-to-gamertag

If you do not have access to the old 360 console that profile was on unfortunately there is nothing that can be done because all the profile information would be on the HDD on that console.

The Xbox 360 uses a proprietary file system--FATX--and because of that Xbox data itself cannot be recovered.

The hard drive uses Flash Memory so the data is possible to recover, i suggest sending the Xbox 360 to repairment and ask them to recover all data from the old HDD to a new HDD. You can register the Xbox 360 console with its serial code and send it to repairment
here: https://support.xbox.com/en-us/my-account/warranty-and-service/getting-your-product-serviced

Sorry, but unfortunately Xbox 360 Consoles aren't designed to natively read hard drives formatted for non-Xbox machines. Although you may be able to save some of the data (videos, music, photos, etc.) to your Xbox 360 Hard Drive, it is ultimately not designed
for data recovery. I suggest using a data recovery program on a Windows, Mac OS X, or Linux computer to recover your files.