If you want to see the loads in the Invoice report - please send the invoice from your CarShipIO account.

See how to send the invoice here  

Load which was marked as Invoiced does not show up in the report. 

In this case you will be able to see the status of the load in load details but you can't see this load in the Invoice report. 

Make sure you make everything by the rules in order to use the report and those filters.