Are the Prophet's — may God bless him and grant him peace — admonitions to his daughter Fatimah, which include the virtues of housework, the reward of a husband's satisfaction, and some warnings, authentic?

This is a fabricated, false hadith attributed to the Prophet, may Allah bless him and grant him peace. It is not permissible to narrate it except as a warning against it. Let everyone who participates in spreading such hadiths fear Allah, for their adversary on the Day of Resurrection will be the Messenger of Allah, may Allah bless him and grant him peace, who warned against lying about him and informed that whoever lies about him will take his seat in the Fire.