Information on contemporary companies or individuals can be difficult to find in the usual avenues. If you are having trouble, see if the person or company has a website: they will often have a list of press items or write-ups on their website.
Additionally, you should not be afraid to contact a person directly to see if they will grant you an interview. Why not get your information first-hand? Sometimes even email correspondence can be a useful way to gather information about a person or group.
Here is a list of databases that include biographical information about playwrights and other noteworthy individuals. If you cannot find the person you are looking for in one resource, try a different one. Sometimes it is difficult to locate full-length biographies on contemporary individuals. Remember that there might not be a ton of written information about every person you are researching. Sometimes biographical information must be pieced together from a variety of sources.
If you are checking to see if a full-length biography exists for a specific person, do a keyword in subject search for the person's name. That way, you will get books about that person instead of books by them.
There may not be entire books written about the person you are researching. Try looking in general biographical works such as the ones below. I found these by searching for the words dramatists and biography in a keyword in subject search in CUNY+. Dramatists is the preferred term over playwrights. Some of the others were found by searching for performing arts and biography.