The predatory mites that biological companies sell can stress certain beetles roaches and springtails. Orin says that they are hard to keep alive except in containers you don't want them in. Usually, it is better to get rid of the mites some other way.
In my experience predatory mites did not do good good job with brown beetle mites. Although the number of adult mites has decreased, they did not affect small grain mites (I understand that these just their eggs and brown mites at their early stages). Same effect was achieved by not feeding protein to larvae for about 2 weeks. I tried with 3 different kinds of predatory mites and was not impressed with these at all.