The means of forcing the EDD to take action on a claim is, unfortunately, hidiously costly. The process is called a "petition for a writ of mandate," which must be filed with the Superior Court, and it is practically impossible to accomplish without hiring a lawyer.
You can send a complaint form
to EDD, by certified mail, return receipt requested, so that you know that your complaint was received. But, ultimately, if EDD does not respond, then you are stuck, because until EDD sends you a denial, you cannot appeal to the administrative law judge.
I don't want to say that all you can do is wait, but, that's really where you're at. You could mention in the complaint that unless you receive a response within the next 15 days, you will file a writ petition with the Superior Court. That might get someone's attention, because it will show that you know what your next legal step is -- but, if it doesn't, then you will have to decide whether or not you want to actually file the petition so as to force EDD to do its job.
I really wish I had some other bulletproof means of getting you a response, but this really is all there is available.
I can direct you to a civil practice guide that explains how to file a writ petition, if you decide you want to try to "do-it-yourself," but that's the only other thing that I can offer under the circumstances.
Please let me know if you would like that info. Hope this helps.