I wonder how Australoids got to Australia from India, or was it a reverse situation?
The original Australoids were just the Out of Africa people. The OOA people soon became what we now know of as Australoids. No one quite knows what they look like, but Negritos like the Andaman Islanders and the Orang Asli in Thailand have the oldest genes going all the way back to the original OOA people or even before.
I think the Orang Asli genes go back 72,000 YBP, which is before that supposed OOA event. However, there were also anatomically modern humans in India 75,000 YBP who were mostly wiped out in a huge volcano that killed a large % of the humans on Earth. So there may have been a couple of OOA events, one prior to 75,000 YBP and the more recent one at ~50-60,000 YBP.
At one time, Australoids were spread out over much of the globe. They were generalized across all of Asia and even into Southern Russia. In fact, the original Caucasoids may have been Australoid. Of course, the people of Australia are Australoids, but their history there is a bit more complicated.