The paragraph you quoted above is from the Manu-Smirthi. It is from Hinduism, not Buddhism. It is given in the link you have provided. Please check it once.
Also (going by the source that you have provided), Buddha’s principles do not mention gender anywhere in them. They are gender free. This is a quote from the article that you have sourced from.
the Buddha was not interested in establishing and perpetuating a particular worldly order, for whatever actual regime that would be put in place would in a Buddhist sense be unsatisfactory. In this respect Buddhism differs from other religions where private and public affairs were brought within the gambit of religious regulation.
It shows that the core Buddhist principles themselves do not give a damn about gender. Gender comes into role when they interpreted by assholes(in this case men of the previous era) for their own benefit. It is the same with Hinduism, Islam and Christianity.
Where as Christianity changed a little to include the principles of the modern society, Hinduism is changing now ( despite the idiotic and bigotry RSS in India ), Islam is stuck in the medieval ages. It urgently needs a “makeover”.
Can you please correct your statement or let me know if I am wrong in my interpretation of the article you have sourced?