You can find deleted images and reports in the trash, from both the web portal and the Report and Run: Integrate mobile app.
Report and Run: Offline
While the offline version of the app doesn't have cloud storage or a trash bin, you have a couple of options for retrieving deleted images and reports:
Check your email's sent folder to find copies of previously sent Report and Run items.
Check your device's photo gallery. If you have the "Save Images to Gallery" setting enabled in Report and Run, you might find report images saved there.