Not much newer, at least Hindu astrology isn't. I don't know a damn thing about Chinese astrology and unlike the skeptics, I don't critique things I don't know anything about.
Roughly it went this way. Babylonian astrology became Greek Astrology. Greek astrology is the basis of both Hindu and contemporary Western astrology, but in the early middle ages western astrology was changed by or adapted by the so-called Arab astrologers. They all weren't Arabic, but they pretty much wrote in Arabic except for one main Jewish astrologer, Ibn Ezra. He wrote in Hebrew.
Hindu astrology maintained much of the Greek format and still uses whole sign houses, a Greek technique. Some of Hindu astrology simply uses different names than western astrology for the same thing.
The Egyptian contribution is still, somewhat up in the air or our understanding of it is still up in the air. When I first became interested in traditional Western astrology the generally accepted belief was that the Egyptian contribution was minimal and that Egyptian math wasn't up to the more complex calculations needed. Lately, with the discovery and translation of some previously unknown documents, this opinion is undergoing a serious revision. The Egyptian contribution may be far more significant that previously believed. A lot of this has still to be sorted out and this isn't the place to do it.
However Hindu or "Indian" astrology is also called Vedic astrology and the Vedic period is far older than Greek or Babylonian astrology. "Vedic" astrologers claim great antiquity for their astrology. My sources tell me there was very little and perhaps no astrology in the Vedic period of Indian history, so that claim is dubious.
If we look at the practice of astrology objectively, and one doesn't need to " believe in" it to do that, we'll find a lot of the differences are cultural. Indian culture is quite a bit different than Western culture, so we would expect such differences to manifest in the respective practices of astrology and they do. But there are similarities as well. The planets pretty much represent the same sorts of things in both for example.
Older isn't necessarily better or worse. The idea that everything old is bad and everything new is wonderful is, frankly, stupid. I could never get interested in Indian astrology. I'm not an Indian. But I'd never judge it as inferior.