What's the meaning of "You should be telling people..."

Question

I've come across the phrase below?

You should be telling people that’s what done it: home school.

I don't know if "should be telling" is a future continuous form or something else?

Could you please tell what the meaning of the phrase is?

The main text is:

A MONTH BEFORE MY graduation, I visited Buck’s Peak. Dad had read the articles about my scholarship, and what he said was, “You didn’t mention home school. I’d think you’d be more grateful that your mother and I took you out of them schools, seeing how it’s worked out. You should be telling people that’s what done it: home school.” I said nothing. Dad took it as an apology.

Answer 1

You should do X

means:

X is what you ought to do; doing X is the recommended course of action for you.

The reason your cited example uses the continuous form (You should be telling them rather than plain You should tell them) is to add "immediacy" (X is what you ought to be doing right now, as opposed to perhaps being something you might do at some time in the future).