Facebook Live, unfortunately, is still in beta due to Facebook not being developer friendly (to put it mildly). It will likely never come out of beta since they are unwilling to allow new, mobile, apps to use their service, other than their own, for Facebook Live.
More information here: https://scorecam.pydmsw.com/livestreaming/facebook.html
You will need a subscription but you have a week to try it out for free. I would recommend trying the monthly and then, if you can't get Facebook to work for your situation, just cancel the subscription before the week is up.
It can be complicated so be sure to do lots of testing before you want to record a match. Here is some documentation to help you get going: https://scorecam.pydmsw.com/livestreaming/livestream.htmlTags: facebook live, live streaming