How much time do I have to request additional information and documents from the other party after they respond to the first request?
If you are asking for new information based upon what you have already seen, then there is no time frame. If you think what you received was deficient, then you need to send a meet and confer letter and do so well before the applicable Motion to Compel filing deadline which is in the Code of Civil Procedure. Because you are dealing with well established rules, it would be best to consult with experienced counsel so that you meet all of your deadlines so that you do not foreclose on any rights you may have.
The answer provided is a general response based upon information contained in the query which has not been substantiated or otherwise verified. For complete advice particular to your individual situation, you should consult with an attorney in your local area that is well versed in family law.