Elysia cron module does not execute cron job automatically
As I mentioned before Elysia Cron can only schedule the cron jobs not control it when to run.
If system crontabs are set to run every minute elysia cron module can control it from there on.
Check out the drupal page for that module.


  Elysia Cron
  However to get the full potential out of elysia cron and have the full
  control over you tasks a further step is needed: you need to configure
  the system crontab to execute drupal cron every minute.