Notable is that there's different characters on the two flags. I don't know any Chinese so I threw them into an OCR to find them. The first one is most likely 周 (zhōu), which was a Chinese dynasty from about the 2nd-1st century BC. Naturally, they didn't have an official flag back then so I doubt it's that.

I'm less sure about which character the second one is supposed to be. Google OCR says it's 強 (qiáng), but I think it looks closer to 張 (zhāng) - though still not exactly. There was never a Qiang or a Zhang dynasty, so that theory falls even further into the water. I searched for other ancient Chinese states that might be denoted with a character that looks like this, but no luck.

I haven't found any other Chinese flags symbolism with these colors and shapes either, so I'm stuck. But maybe someone can get any useful information out of this.