There is no report that will capture all deleted invoices. Even in saved search report, there is no way to run the deleted invoices.
The best way to monitor the deleted invoices is through the Audit Trail. Navigate to Transactions > Management > View Audit Trail. Choose Invoice as the Transaction Type. Choose the Delete as the Action. The Date can be in a range to capture only the data in specific dates. Then, hit Submit.
A list of all deleted invoices will be shown. Export the data to excel to create a formal report and to edit columns.
An enhancement request has been created to address such limitation. We may refer to Enhancement # 112354 - Customer wants the ability to view the deleted transaction.