The "Create new document" dialog sources its entries from ~/Templates. Simply put an empty Libreoffice document in that folder or create a subfolder with multiple documents and you will be able to create LO documents from the context menu in Nautilus.
The same method applies to any other type of file, of course.
Best Answer
To disable right click for just desktop :
To apply for system wide:
If you want to reverse it:
But, notice that it will restore to defaults upon rebooting.
Now, if you wish to make this option non-volatile do the following: