Good day, burghardtmfg.
You've got me here today to share some more information about job costing via QuickBooks Desktop.
I appreciate the screenshot you've provided. In order to show the rates in the Job Profitability Detail report, timesheets should have a paycheck or money out transactions, since the timesheet alone is non-posting.
QuickBooks Desktop will not automatically correlate time on the timesheet when adding it to an invoice. You have to do this manually.
You can get more details in this article: Tracking job costs in QuickBooks Desktop.
If you need more help with job costing in QuickBooks Desktop, please let me know. I'm here to help.