What does this sentence mean?

so he got that on record no matter what.


It's not a full sentence. What's the full sentence? And the sentence before it.


Teachers: We supply a list of EFL job vacancies

Yes, You're right. The full sentence is:

We practiced acknowledging the question,

"That's a good point, Steve,"

and then seguing into his key message so he got that on record no matter what

It's hard to imagine what the full context is here.

For some reason, Steve wants his message to be heard (by a group of people?) and the only way that can happen is for us ("we") to acknowledge it or repeat it (to someone?)

For the message to be on record is to have it recorded in some way (written or audio), so one of those methods of recording must be involved somewhere in this story.