Inactive DL report displaying no data.
The Inactive DL report will display only Inactive DL's prior to the from date
Run the Inactive DL for the current date and the List Access DL for the current date - this should display all DL's for the Org.
The only time the Last Mail Sent Date field in Inactive DL report is populated is when the date is prior to the From Date in the Filter for the report.
If wanting accessed DL's then the List Access report is the one to run