Google Apps + Yandex mail = no spam?

Appeal to those who use a similar bunch.

(incoming gmail apps -> forwarding to yandex mail to clear spam -> back to gmail and scattered to recipients)

Mail we on Google Apps, many different email `s with different domains. In the mx settings at the hoster, the Google addresses are written according to the instructions. (only three servers of 1, 2, 3 levels).
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Previously, all mail was flocked to 1 of my administrator account, where recipients were distributed through filters. But a year later, the number of spam exceeded 50 emails per minute, and began to look for an opportunity to get rid of it at least somehow. Plus, the necessary letters often got into the spam daddy (mine), and the recipients asked me to look at the new mail in spam.

Did the following:

All mail flows to the gmail apps account “nospam”, after which it is immediately transferred via gmail filters to Yandex mail, where it is filtered from Spam and already sent to my admin gmail account and then distributed to the right recipients via filters.

The first week everything worked type top. Then they began to notice that the letters disappear.
Fortunately, there is a “nospam” account where you can find missing incoming emails. Later it turned out that Yandex had some kind of problem with the mail and for some time even the search in the mail did not work for them (this was written off by the Yandex JV).

Today I started checking email at nospam - I was horrified, at the end of May a large number of letters got stuck.
Some never reached Yandex (remained in nospam), some did not leave Yandex back to gmail.

It is not clear what the problem is, in Yandex, in the hoster, in Google or in Google filters.

Who can faced the same problems? Or is there another way to get rid of spam? :) Spam filters on Yandex are better than in Google, but it would seem a good idea to make a double barrier spoiled by such problems.