Re: I might be wrong, because I don't know
As posted upstream, how do you know how long the words are? How do you know there are only two words?
The only way this would work was if the site insisted that the password contained two words each of a known length. Which would, on the face of it, be a pretty dumb approach to security.
Edit: having said thst it would be interesting to see the math on breakability against a truly random string. However if you rule out punctuation and stuff, a two character password can only have roughly (32 * 32) options because of the limited number of different characters. However the number of available WORDS in a dictionary is enormously higher.