Did Li Zicheng's two omnipotent advisers surrender after the defeat?

Li Zicheng's two advisers are Niu Jinxing and Song Xiance. Niu Jinxing was occupied by the Qing army in Beijing, and soon surrendered to the Qing Dynasty. Song Xiance was captured in the later war before surrendering.

At the end of the Ming Dynasty, King Zicheng of Li Chuang launched a massive peasant uprising, and later successfully captured Beijing, forcing Emperor Chongzhen to commit suicide by hanging himself. Immediately after that, Li Zicheng established the Dashun Dynasty, and two important advisers, Niu Jinxing and Song Xiejian, were named Prime Minister and Founding Military Adviser respectively. Li Zicheng's achievements are mainly attributed to the guidance of Niu Jinxing and Song Xiance. It is said that these two counselors are not only brilliant, but also know the magic of Taoism. Although not as good as Zhuge Liang and Liu Bowen, they are also quite powerful.

Niu Jinxing is from Baofeng, Henan. His father and his family have been small officials for generations, and he can barely be regarded as the second generation of officials, so his family is relatively rich. When I was young, because I was framed by others, I was deprived of my identity as a juren and was sent to serve by the court. So he joined the rebel army in Li Zicheng with discontent, became a counselor in Chu Zhuangwang, and recommended Song Xiance, a warlock who was proficient in metaphysics and Taoism, to Chu Zhuangwang. Later, shortly after Beijing was captured by the Qing army, he surrendered to the Qing Dynasty with his son and died during the Shunzhi period. Others say that instead of surrendering, he went into seclusion.

Song Xiance is a real wizard. He has been living as a fortune teller in Yongcheng, Henan. He is not only knowledgeable, but also familiar with all kinds of tricks. Li Zicheng can achieve something, mainly because of him. Later, when Song Xiance found that Li Zicheng was not the person he wanted to help, he was somewhat disheartened and didn't pay much attention to the war. Finally, the rebels were defeated by the Qing Dynasty. He was also captured by the general of the Qing army, Azig, but because he was an able man who knew strange skills, he was highly valued by the Manchu and received good treatment. He also used his own skills to please the Manchu people and lived happily.