Cur Deus Homo was received quickly and altered almost as quickly, and the alterations are worth distinguishing because they are often collapsed into one another.
Thomas Aquinas kept satisfaction and loosened its necessity. Where Anselm argued that God could not have done otherwise without leaving disorder standing, Thomas held that God could have restored humanity by another route and that this route was supremely fitting rather than strictly required. He also set satisfaction inside a larger treatment in which merit, sacrifice, redemption and efficient causality each say something about the same act, so satisfaction becomes one aspect rather than the whole account. That move matters, because it is why the later Catholic tradition can use satisfaction language without holding a single theory of the atonement.
The Council of Trent speaks of Christ meriting justification for us and making satisfaction to God the Father, and the Catechism of the Catholic Church retains that language while declining, as the councils always have, to define a mechanism.
The Reformation change was of a different order. The Reformers took the word satisfaction and filled it with penalty, so that the satisfaction now consists precisely in the punishment being borne. Anselm had offered punishment and satisfaction as alternatives; the Reformed doctrine makes the second happen by means of the first. The setting shifts from a court of honour to a criminal court, and the governing terms become law, curse and acquittal.
Whether that is a development of Anselm or a departure from him is one of the genuinely unsettled questions in the field, and it is not a merely antiquarian one. Defenders of penal substitution who claim a continuous Western tradition running from Anselm through the confessions have an interest in the first answer. Critics who present penal substitution as a sixteenth century innovation have an interest in the second. The atlas notes that both readings are argued by serious scholars and that the texts themselves show a real change of category.