Backup message & call to Email is Tools Apps for Android By Lucky-dog.
download latest version of Backup message & call to Email Apk v2.8.1 for android from GlobalAPK with direct link.
Now Backup To Gmail has following features:
1). Backup/restore your SMS to/from Gmail;
2). Backup/restore your call log to/from Gmail;
3). Backup/restore your MMS to/from Gmail;
4). Support to login Gmail with XOAuth, you needn't to provide your Gmail password;
5). Support to hide application icon;
6). More features will be added in the feature.
Please make sure you had enabled Gmail IMAP option.