Carbon does NOT require root. All Android users can use Carbon to backup and sync Android applications.

Carbon lets you backup your apps and data to your SD card or cloud storage. With Carbon, you can sync app data from your other Android devices-- even if they are not on the same network. Set up backup schedules with Carbon, and never lose data again.

Carbon Setup
Install Carbon on Android
Root user? You're done!
Install and run Carbon Desktop (link below)
Windows users must install their Android drivers as well
Connect Android to computer.
You may need to set your USB Connection Mode to "PTP". (Nexus 7, Nexus 10, etc)
Carbon on Android should now be enabled.
Carbon (Free) features:
Backup and restore to SD card
Backup and restore from PC
Carbon (Premium) features:
No ads
Automatic Backup schedules
Android to Android sync
Cloud backup and restore
Dropbox
Box
Google Drive
Note:
Carbon is NOT available to Motorola devices. This is because Motorola phones have a bug that break Android's backup mechanism. Until this is fixed by Motorola, Carbon will not work on those Androids.

What's in this version : (Updated : Nov 13, 2014)
Better keyguard handling
Fix PC Download
Crash fixes for Android Lollipop! If you're running the Android Lollipop preview, please make sure you are on the latest version released on October 16th!
Lollipop, lollipop
Oh lolli, lolli, lolli, lollipop, lollipop
Call my baby lollipop, tell you why
His kiss is sweeter than an apple pie
And when he does his shaky rockin' dance
Man, I haven't got a chance
Required Android O/S : 4.0+

Screenshots :