To login with google play, first install the original game from playstore. Then login with Google play account. Then use non-root lucky patcher trick to reinstall the mod apk.
Can you explain how or send a link? I need to learn this for someone. My phone is rooted and patched, but my brother's phone is not. So we are playing the same game but he can't save the progress to Play Games. I guess this trick helps, but I don't know how and what to look at.