Reading the whole thing in Google Translate, it looks like the intention is to ride an ACP registered event (ie BRM) any time from June 10th to June 30th and record your club affiliation as Azov-Marathon (550014) in order to get "Azov-Marathon" into the Top 10 of world ranking cycling clubs (as registered with ACP).
Don't know quite how this would work in the UK since AUK has their own "BR" system and all "BRM" events run by AUK have to be registered with ACP at the start of the season. If you were to ride a Perm or a DIY this would only be recorded by AUK as a BR and ACP will have no visibility of the result and consequently you would not count as riding for "Azov-Marathon".
According to the AUK event calendar there are 19 BRM events in that window (though 10 of them start tomorrow) that you could ride, but even then I think you would have to do some jiggery-pokery on the AUK website under your membership preferences for club affiliation in order to ensure your ride is registered as "Azov-Marathon" with ACP.
The Ukrainian entry fee as listed is UAH 60 (about £1.65, yes less than 2 quid!) - you might just want to bung them £20 to their listed charity fund "Come Back Alive".