Here’s a great article on how Anonymous managed to poison Time Inc.’s list of the most influential people of 2009.
Number 1: moot, the father of 4chan.
The first letters of the top 21 spell, “marblecake, also the game”, which is some 4chan inside joke I don’t get (despite some naive Dramatica trawling). I am assured “marblecake” is a sexual term, I assume a disgusting one.

The linked article discusses the various attacks Anonymous used, including beating reCAPTCHA using a Mechanical Turk.
Time doesn’t seem to care that they were pwned, and laughs off the comical failures of their IT department. It makes one wonder how much they care about professional standards in general.
Marblecake is the name of an Anonymous subgroup, presumably the one behind this hack. You’re right about the origin of the name.
The Game is a variant on the old “don’t think about elephants” meme: it is a game where you lose if you think about The Game (NSFW). So by being aware of this hack, you have lost.
The Message should probably be punctuated “Marblecake. Also: The Game!”
I lose!