I saw the following statement on your web site:
Term: Causative Verbs
We use the causative when we do not carry out an action ourselves, but are responsible for the action being performed.Eg: She had her car serviced last week - (She didn't service the car herself, but the car was serviced because of her; she took it to a garage and asked them to do it.)
What do you call the following structure?
Make + Noun Phrase + Past Participle
Eg: I couldn't make myself understood.
I make myself known to him in a vision.
It's the one that made him known to the general public at large.
I don't know a special term, though there is a certain similarity. Michael Swan categorises the first two as simply make + refelxive pronoun + past participle, and the third a make + object + object complement, which doesn't give them a name, just a description.