Also, who said that Cha Quan is yonger than Tai Tzu Quan.
Impossible since Tai Tzu is from the song dynasty
and Cha Quan goes back to the original tan toi like Moslem style that were from the dynasty before, even the Tang Dynasty. It goes back to the martial arts practiced along the silk route by Moslem.

Why Cha Quan shows similarities to Tai Tzu Quan is simply because Cha Quan also is based on Tong Bei (mixed with persian and other martial arts from the far west).
Tong Bei is the second oldest style in China, and it spread all over northern China in the span of over 3,000 years.
Only Shuai Jiao is older than Tong Bei, Shuai Jiao is over 4,000 years old.