I am new to Teamsite and want to search for teamsite production directory hosting my application files. Any help is much appreciated.
Unfortunately, it is not clear what you are asking for.
The best recommendation I can make for you is (a) go through some formal TeamSite training [HP offers it, as do some other folks; and it will likely answer your question], and/or (b) read the manuals [unfortunately, this may be likely to confuse you more based on your current understanding of the product]
Beyond that, you can try to rephrase / expand on your initial query here - but without a solid base understanding of the product I'm not sure you'll be able to formulate your query in a manner that will make much sense [to me at least, if not everyone else here].