You have the ability to make Desktop Task Timer sync its timesheet data across multiple devices. In order to do this, you need access to a shared folder that both devices can access.
One good option for this is a free application called Dropbox.
After you have access to a sync folder, you need to tell Desktop Task Timer where the shared timesheet data will be stored. Open the preferences window, click on the Sync tab, and then select your folder in the 'Sync Folder' field.
If you are on your first device, doing this will copy your timesheet data to the new folder. If you are synching up your second device, Desktop Task Timer will merge the two sets of timesheets that you may have on each device. From that point on, any changes you make to one task list - including creating and assigning groups - will be automatically applied to the timer on the other device.