All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
Perhaps you are referring in the question to the saying of Allah (which means): {...and you have given one of them a great amount [in gifts], do not take [back] from it anything. Would you take it in injustice and manifest sin?} [Quran 4:20]
If this is the case, then this verse is related to the money that the husband gives to his wife as a bridal gift at the time of the marriage contract; this includes the gifts that he gives her at the time of the contract, as these take the ruling of the bridal gift. Al-Baghawi said in his Tafseer (exegesis), when interpreting this verse, “It refers to a lot of money as a bridal gift.”
As regards other gifts that the husband gives to his wife and that are not related to the marriage contract, then their ruling is the same; it is not permissible for the husband to take them back after his wife has taken possession of them and she became their owner by him taking his hands off them and her disposing of them as she wishes.
There is another evidence in the Sunnah about this ruling; Ibn ‘Umar and Ibn ‘Abbaas, may Allah be pleased with them, narrated that the Prophet said, “It is not permissible for a man to gift something and then take it back, with the exception of a father in what he gives to his son… ” [Ahmad, Abu Daawood and Ibn Maajah]
We would like to point out to the following matters:
1- In Islam, the husband has the right to marry up to four wives, provided that he is just between them; Allah says (what means): {…then marry those that please you of [other] women, two or three or four. But if you fear that you will not be just, then [marry only] one.} [Quran 4:3] It is an obligation that the husband is just between his two wives, even if they are in two different countries, as has been stated by the scholars. For more benefit, please refer to fatwa 90663.
2- Your mother has the right to demand that your father be just between her and his second wife, but she has no right to object to his marriage to a second wife. She is obliged to obey him in what is permissible, and she is not allowed to desert him or refuse to accept his call to bed just because he married a second wife.
3- If the husband fulfills the rights of each of his wives, then after this he may give whatever gifts to whomever he wishes of them. For more benefit, please refer to fatwa 287074.
Allah knows best.