Restoring a new iphone from an older backup?

My mom just got the iphone 6s and her old one was a 5s i believe. I did a backup of the old phone, and now trying to up that on the new phone. When I first tried it said it can't be restored because the software on the iphone is too old. (to restore this iphone from this backup, you just first set up a new iphone and restore the software to the lastest version.) So i started a new iphone and when i click the restore back up the one i need isn't there. But when i go to preferences I can see the backup i need so it does exist. I don't know what it wants me to do. Am I suppose to update the old iphone and then back it up? I'm not even sure if it has a new update. And we don't even have icloud set up but if anything i guess thats the next option.

Dhhdbshs

Can't, 6s does not take 5s backup.

Mkay.

Your mom s old iPhone 5s is still available? Well, I think there are several ways.
You can use a phone transfer software to transfer data from iPhone 5s to iPhone 6s.
If you have kept backups on iCloud, you can also restore to the iPhone 6s as well.
In addition, you can extract data from iPhone 5s to PC, and then import them to the new iPhone 6s.
And some data extractor software can help directly extract iCloud or iTunes backup data to your iPhone device. Maybe you can try iSkysoft iPhone Data Recovery, which should be helpful.

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