If you deleted the shortcut, that anyway didn't uninstall the program.

It's still there. Search for firefox.exe in the search bar or go C:\Program\Files\Mozilla or C:\Program\Files (X86)\Mozilla.

Within the folder, you'll find Firefox executable (firefox.exe), simply launch it by double-clicking it.

rashmig2010 said

Due to some error my Mozilla Firefox browser stopped working and the windows got closed. When i tried to reopen it, it shows that someone has deleted the shortcut or remove it. do you want to delete the shortcut? so i accidentally delete the shortcut. Now when i created the new shortcut my all bookmarks and history was gone.

So first, is Firefox actually installed? As mattcamp mentioned, you can search under the Program Files path. Depending on your Firefox version:

32-bit Firefox, under:
C:\Program Files (x86)\Mozilla Firefox

64-bit Firefox, under:
C:\Program Files\Mozilla Firefox

Can you find either of those? If not, or if the firefox.exe program file in the folder is missing or doesn't work correctly, you may need to reinstall Firefox.

Note: Don't use any third party uninstallers or removers as those may remove all your Firefox data.

If you can start Firefox, great. But the lack of data obviously is a problem. Could you check one of my posts in another thread for steps to try to track it down: https://support.mozilla.org/questions/1170542#answer-994423