The analytics trackers that you mentioned would fall under Mozilla's Websites Privacy Policy, which does state that it uses Google Analytics and can be easily verified a number of ways such as the services you previously listed.
However, Firefox sync uses https://accounts.firefox.com/ which has its own Privacy Policy. There is some confusion around "Firefox Accounts" as it was rebranded to "Mozilla Accounts", which again has its own Privacy Policy. There is no indication that data covered by those policies are shared with Google. If Google Analytics trackers on Mozilla's website are still a concern for these services, you can verify that the Firefox Accounts and Mozilla Accounts URLs do not contain any Google Analytics trackers.
Firefox has a Privacy Policy as well. Firefox's Privacy Policy has sections for both Mozilla Accounts and Sync. Neither of which indicate that data is shared with Google. Additionally, the data stored via the Sync service is encrypted. However, there is some telemetry data that Mozilla collects regarding Sync and more information about it can be found on Mozilla's documentation about telemetry for Sync.
The only thing that I could find about Firefox, Sync, or Firefox Accounts/Mozilla Accounts sharing data with Google was for location services within Firefox. While it would be nice for Firefox not to use Google's geolocation services, it is a reasonable concession and can be disabled.
Mozilla is most definitely not a perfect company, even when it comes to privacy. Even Firefox has been caught with some privacy issues relatively recently with the unique installation ID.
Again, I'm not saying that Mozilla is doing nothing wrong. I am saying that your "evidence" that Mozilla is sharing Firefox, Sync, or Firefox Accounts/Mozilla Accounts data with Google because of Google Analytics trackers on some of Mozilla's websites is coincidental at best. Without additional evidence, it is misleading or flat out wrong.