I just tried Linux Mint 13 Cinnamon today and realized that when you right click on the desktop, there is no option to create a launcher. Of course, you can just drag the applications in the menu to the desktop to create the launchers but this is not very efficient in case you want a custom launcher.
To create a custom launcher in any folder in Linux Mint 13 Cinnamon, just hit Alt + F2 or open the terminal then run the following command:
gnome-desktop-item-edit /path/to/the/folder --create-new
For example, if you want to create a launcher in your default Music folder, the command will be:
gnome-desktop-item-edit ~/Music --create-new
After you hit enter, the create launcher window will appear for you to customize the launcher:
Just enter all the necessary info for the options and hit "Ok" and you will have a launcher. For example, I want to create a launcher for Firefox in private browsing mode, my launcher window looks like this:
This method also works in Ubuntu 12.04 if you want to create a custom launcher in any folder.
In Linux Mint 13 MATE, when you right click on the desktop, there will be the create launcher option by default. However, you wont have it if you right click on other folders besides Desktop. To create a launcher in any folder in MATE, the command will be slightly different because of the applications names in MATE but everything will work the same:
mate-desktop-item-edit /path/to/the/folder --create-n