"To everyone experiencing this issue -- I believe I've found a fix. In settings, Disable 'Auto-Sign In To PlayStation Network". Then, when you touch the Leaderboards Icon, you should see your score. If not, exit the game, or play another mode, then come back and check -- it should be there. It might take 5-15 minutes to show up, but at least it'll be there."
Enable "Auto sign in PSN" I'm sure about that.
By doing that, everytime you finish a round, the loading time would be longer, to update you high score to world leaderboard/ destroy world block. Or discover game's game good from your friend or people around.
By not signing in PSN, you can only get trophy and nothing more.
EDIT: I dont know there is a patch or not, back to the time I play LES, the trophies dont not auto pop up, you have to exit game, then start again, then the trophies which you did archive in previous play time, would pop up.