Hi,
Moz is hosted on Amazon. See this sample log entry from today:
54.146.235.41 - - [17/Sep/2017:09:48:13 +0200] "GET /best-deals.html/page/12/ HTTP/1.0" 200 15803 "-" "rogerbot/1.2 (https://mza.bundledseo.com/help/guides/moz-procedures/what-is-rogerbot, [email protected])"[XF 54.146.235.41]
That IP is part of Amazon's ASN.
whois -h whois.radb.net -- '-i origin AS16509' | grep ^route
You can either use something like mod_authz to allow the domain amazonaws.com to connect or you can get each IP from AS16509 and allow that.
Hope it helps.
Regards
Chris