Reminders can be configured to integrate with Daylite, but only tasks from your Worklist and Inbox will be shared directly with the Reminders App on your Mac, iPhone or iPad. Apple Reminders app is automatically configured through the Calendar application (once Calendar Sharing is set up, notifications will be displayed in Notification Centre)
You can select either Worklist or Inbox as your default list directly from the Reminder app's preferences.
It is recommended that you use Daylite (on Mac or iOS) as the main application for creating and managing tasks and use the Reminders app only for quick entry of a task into Daylite.
For steps to set up Calendar Sharing, please refer to Sharing your Daylite calendar and tasks outside of Daylite