It is highly suggested the level you publish is a VS level to unlock another trophy
To publish a level you must first create a level, from the Pod enter your Pod Controller and open up 'Me' and 'My Moon'
Select any space and press
to enter Create mode. Once in create mode press
to open your Popit and then open your 'Tools Bag'.
Once in your Tools Bag press
6 times to go to the 7th page called 'Gameplay Controls' and change the first option from Cooperative to Versus
to return to the Pod and save the level, once back in your Moon press
and then click 'Publish'.
Once the level has been published you will unlock this and