I want to publish on Facebook the score and a short description when press an object but I don't want to make a Facebook game.
Something like the "like button" on some webpages or Something like share on Facebook the score.
Develop games in your browser. Powerful, performant & highly capable.
If I understand what your saying then you need to follow the same process as the facebook tutorial states really but instead of filling out the options for putting the game on facebook, fill out the details for filling out the put on website section then its simples :)