You can go to the Finder menu/Preferences/advanced and make sure that secure empty trash is not checked, if it is not checked, then you will usuallly get a prompt to empty trash securely, and have to enter your admin psswd.
If you do a secure empty, it is gone. You can do a web search for recovery software which may, or may not work. (such as disk warrior, etc..) but it is expensive, and may not work, you can also try a data recovery service, which will be even more expensive. It all depends on how "valuable" the data that you deleted is.
Best of luck