How sound is the narration reported from the Messenger of Allah, peace and blessings be upon him, concerning eighty verses from the Qur’an and the fulfillment of needs that results from reciting them, and what is the Shar’i position regarding those who propagate such speech?

The aforementioned hadith (definition) has no basis in the relied-upon books of hadith. It appears to be recently fabricated, and it is not permissible to publish it or distribute a book containing it, as that would constitute lying about the Messenger of Allah, peace and blessings be upon him, and spreading falsehoods. Whoever distributes it after knowing its falsehood falls under the threat (of punishment). Mere good intention does not permit doing something whose falsity has been established. For a deed to be accepted, it must be done with sincerity and in accordance with the guidance of the Prophet, peace and blessings be upon him.

And Allah knows best.