Is it true that the Messenger of Allah (peace be upon him) supplicated for ugly women to find success in their lives and marriages, and that an ugly or less beautiful woman lives a comfortable and happy life, unlike beautiful women who do not succeed in their marriages?

There is no evidence in the Sunnah of the Prophet specifying a supplication or praise for women of little beauty. Happiness and misery are from the decrees of Allah, and the believer is content with that due to his knowledge of Allah's wisdom. The true measure is piety towards Allah; for the pious woman lives happily by virtue of her good character and chastity, whether beautiful or not. As for the woman who does not fear Allah, people will shun her due to her bad manners.