How do I move my IPhone backup from one machine to another? I used to sync my IPhone to my Macbook air using ITunes. All my Apps and other stuff like music and podcast were fully backed up there.

Recently I bought a new mac mini and now I want to create a full backup of my Iphone there. However after, authorizing and fully syncing I noticed that only recently installed Apps were showing up. 

How can I get a full backup on the Mac Mini like how I used to have in my Macbook air ?

P/S - I do not backup my Apps on ICloud.
Thanks.
Find device backups in ~/Library/Application Support/MobileSync/Backup/

To locate a specific backup:


Go to iTunes > Preferences. 
Click Devices. 
Control-click the backup you want and select Show in Finder.


https://support.apple.com/en-us/HT204215



How to back up your devices using iCloud or iTunes

https://support.apple.com/en-us/HT203977