This is a problem that caused me to change my tip of choice from Moori to another brand. Ten years ago, I was having great luck with Moori tips. I was going through about three tips a year, only replacing them due to the fact that I scuffed down to nothing. At the time, I was having almost no trouble with mushrooming.
At some point, however, I got another Mooori and it seemed like from that point on each and every Moori would be very prone to mushrooming. All of the sudden, my impression of Moori went from a "low maintenance" tip to a "high maintenance" tip. I still very much like the hit and chalk retention of Moori tips, but I end up having my shaft in the lathe about twice a week shaving off mushrooming until the tip is at least 50% through its lifespan.
Once I get a Moori thoroughly broke in and pounded down, they seem to be all right until they are too thin and need replaced. From my experience, this takes about a month of regular play. I generally have to trim the mushrooming at least three times.
I have found a couple things that I can do that seem to reduce the maintenance time on Moori tips. When I install the new tip, I machine off the top 1/3 of the tip to bring the sidewall height down to about .200". I also taper the tip slightly, and then I seal the outer edge of the tip with super glue. These three steps greatly improve the initial performance of not only Moori tips, but quite a few other tips that I have tried too.
Of course, these recommendations are very subjective and only reflect my own personal experience with these tips. I am sure that there are legions of people who would vocally object to these ideas, and they are certainly entitled to their opinion. It is also quite possible that these suggestions may go against the official advice that Moori would give to you about this problem. Just thought I would pass along some things that worked for me. What works for me is most certainly not "best" for everyone else!