Accessing internet though messaging yourself a link
The internet can still be accessed by messaging a link to yourself even though Google is blacklisted and disabled. So basically even when the Google app is doesn'tt open because funamo blocks it all you have to do to get to the internet is send yourself a message with a link to Google.com and your in. Anything that is searched doesn't show up in the funamo history, thus no accountability. Is there any way to fix this on a Samsung S7?
Are you using some special messaging app? In the normal messaging app, Android system will try to open a web link using one of the browsers you installed. Since you block all browsers other than Funamo browser, you can only open the link with Funamo browser.
If it can open other browsers, please make sure other browsers are blocked by Funamo. If the message app open the link inside the app, please consider using a more standard messaging app that does not have built-in browser.