[Cameron_D]

nginx-rtmp can take a source and forward to multiple outputs. Fairly more advanced is BBC's Brave which is more of an API-driven live video editor that can push to multiple outputs.

[judge2020]

Unfortunately it hasn't been updated for RTMPS (rtmp over tls), which is required/heavily encouraged for FaceBook Live.

[simplecto]

You can work around this limitation using stunnel.

Just search for rtmps and stunnel. Quite a few helpful results. There is even a docker container that makes this pretty simple.

[uncoder0]

It's essentially nginx-rtmp as a service with an SLA (maybe?)

[simcop2387]

an sla and a nicer management ui for handling keys and possibly reencoding for different services