Not necessarily either. It simply means that they were there under the authority of Israel. Possibly a green-card type situation.
No, it was supposed to say, “acting under Syrian auspices” because that is the reasoning for Israel calling out the Iranians operating in Syria earlier in their press release. Their point was, no matter the people behind any attack, where it originates places the responsibility on that government - namely Syria.
It was a Freudian slip by the British journalist.