If you click on "Report to moderator" button, you reach this page:



Within this page you have to click on "Your report history" button. The next displayed page is the page where you can see the status of your reports, as it follows:
- all reports made within past 30 days
- only last 5000 reports, in case you made more than 5000 reports within past 30 days (5000 reports displayed is the maximum displayed limit, so if you make 5000 reports in only 1 day, you will not see the reports you made yesterday -- as example).

However, you will not see that button ("Your report history") unless you have made already 300 good reports. It's like a perk, if you want, which unlocks you this feature after reaching 300 good reports.