Sorry to hear that Lightroom is not deleting the images. We're here to help.
Could you please share the version of Lightroom (Help > About Lightroom) and the macOS version on your computer?
How are you trying to delete the images? Do you see any error messages? What happens when you try to delete the pictures from the "deleted folder"? Is it happening with all the files that you try to delete? Did you try re-installing the application?
Try logging out and re-login into the account and check if that helps.
We're here to assist just need a few more details.