Its says my phone has synced with another iTunes account on the same computer? I Want my garage band songs to go from my phone back to my laptop but they won't

Question

So my Mac got wiped, obviously all my iTunes bought songs and stuff are rested but in lost most of my Garage band Productions, now the ones that had luckily gone to my phone won't transfer to ituens?

Answer 1

No, it is just saying it is a different iTunes library. If your computer was wiped then the original one is gone and the phone does not recognize the library there.
Your i-device was not designed for unique storage of your media. It is not a backup device and media transfer was planned with you maintaining a master copy of your media on a computer which is itself independently backed up against loss.  To use a device with a wiped or new computer you transfer the content from the old computer (or its backup) directly to the new computer, not the device to the new computer. Media syncing is one way, computer to device, updating the device content to the content on the computer, not updating or restoring content on a computer. The exception is iTunes Store purchases which can be transferred to a computer.  Your Garageband creations are obviously not iTunes Store purchases and should be restored from the backup you make for just this kind of situation.
iTunes Store: Transferring purchases from your iOS device or iPod to a computer - http://support.apple.com/kb/HT1848 - only purchases from iTunes Store
For transferring other items from an i-device to a computer you will have to use third party commercial software.  See this document by turingtest2: Recovering your iTunes library from your iPod or iOS device - https://discussions.apple.com/docs/DOC-3991