If you want to store the fact that the report was printed at least once, add a new column to the table where you can save the information. Sometimes we want to control printing so the first printing of a form has no special marks but subsequent prints have a big REPRINT as a watermark or in some spot where it can't be easily hidden. If you want to track the number of times a report is printed, set the default of the field to 0. Then when you press the print button, use the DoCmd.OpenReport command to print and on the next line, increment the count field:
Me.PrintCount = Me.PrintCount + 1
You'll need to tell us why you need to do this because there are lots of options and we have no idea what to tell you about.