The only thing that can help RR is to upload new docs supporting your claims. I agree with
@aasaf. You were lucky that they provided PFL. Sometimes, the officer rejects and does not give a second chance. That is why I also believe that after 3-4 months of aor, we need to get a set of notes and make sure that everything is in order. If RR, we need to quickly raise another CSE and include more docs. I don't know, did them mention in your notes why it is RR? Did you include anymore docs afterwards?
For the part of expediting, I agree no one can push them except if you have an order from the court. The other problem is that wen your file goes to the RR, your case basically goes out of the usual route. That is why your file is left untouched for a long time. They also run several reviews by several senior case analysts and officers to make sure that everything follows the law. All these take lots of time.
Now, all said, with your description, it seems that you finally passed eligibility, am I right? For criminality and security, there is nothing to do other than waiting. I still believe that all of them is almost done for you and they are ready to finalize the case. You can always call them and ask