Although the Ten Golden Crows were not the children of Xihe by blood, they were nominally her sons.
This was enough, the nominal status was established. Hence, there was no issue in claiming the Ten Golden Crows as her sons, which was recognized by the Heavenly Dao.
Therefore, even though the Ten Golden Crows did not inherit Xihe's bloodline, they inherited her Taiyin legacy. And this legacy was bestowed by the Heavenly Dao, without any falsity.
This was the reason why Jiang Chen, despite the Ten Golden Crows not having Xihe's bloodline, still obtained Xihe's legacy after refining their remains that year.
Yin and Yang convergence, procreation and multiplication - this was the method of reproduction after the Ancient Era. Before the Ancient Era, when Great Divine Transcendents bore offspring and conceived progeny, they did so by utilizing the power of Heaven and Earth to give birth.