Is the aforementioned Hadith from Abu Hurairah (may Allah be pleased with him) regarding the Messenger of Allah's (peace and blessings be upon him) supplication after eating authentic?

After finishing food, the Prophet, may Allah's prayers and peace be upon him, used to praise Allah with various phrases mentioned in the hadiths. Among them is what An-Nasa'i narrated from Abu Hurairah, may Allah be pleased with him: "All praise is due to Allah, who feeds and is not fed. He bestowed His grace upon us, guided us, fed us, and gave us drink. And He tested us with every good trial. All praise is due to Allah, not to be forsaken, nor to be recompensed, nor to be disbelieved in, nor to be dispensed with..." And among them is what Al-Bukhari narrated from Abu Umamah: "All praise is due to Allah, much, good, blessed therein, not insufficient, nor forsaken, nor dispensed with, our Lord." These supplications clarify the meanings of gratitude to Allah for His countless blessings, and that His praise must be sincere, continuous, and uninterrupted.