Transfer apps and app data to new phone? How?

[LoJoGalaxy]

So my wife screen was shattered on her phone so I bought her a new identical one. ZTE Zmax Pro. I used google drive to backup and restore all of the google apps but is there a way to backup and transfer all of her apps with data? I found ways to transfer the apk's but without the data. That's useless. She could just go to google play and get the apps. Any help?