There is no background job functionality in DbFace. If you have scheduled jobs, port them over to a system cron job.
*/10 * * * * php /your-dbface-installation-directory/index.php cron your-cron-job-key >> /your-dbface-installation-directory/user/logs/cronlog.log
You will find your-cron-job-key in config/config.inc.php.
// crontab execution key $config['crontab_execution_key'] = 'your-cronjob-execution-key';
Please consider to change this value for security reason.