How authentic is the supplication: "O Allah, provide for me as You provide for the ‘ghiyath,’" knowing that the ‘ghiyath’ is a raven chick?

There is no legal impediment to supplicating for the facilitation of provision and its arrival without hardship, such as the provision for bird chicks in their nests. It is better to supplicate with the reported supplications from the Qur'an and Sunnah that are appropriate for the supplicant's need.