The Second Council of Constantinople is the fifth of the first seven ecumenical councils recognized as such by both West and East. Orthodox, Catholics, and Old Catholics unanimously recognize it. Protestant opinions and recognition of it are varied (presumably because it ratified the dogma of Mary as Mother of God). Traditional Protestants such as Reformed and Lutheran recognize the first four councils whereas most High Church Anglicans accept all seven. Constantinople II was convoked by Byzantine Emperor Justinian I under the presidency of Patriarch Eutychius of Constantinople and was held from 5 May to 2 June 553. Participants were overwhelmingly Eastern bishops; sixteen Western bishops were present (including those from Illyricum).
The main work of the council was to confirm the condemnation issued by edict in 551 by the Emperor Justinian against the Three Chapters (cf. Three Chapters controversy and Three Chapters schism). The “Three Chapters” were, one, both the person and writings of Theodore of Mopsuestia (d. 428), two, the attacks on Cyril of Alexandria and the First Council of Ephesus written by Theodoret of Cyrrhus (d. c. 466), and three, the attacks on Cyril and Ephesus by Ibas of Edessa (d. 457).
Its’ main purpose was to condemn the views of those who held too loose a view of the relationship between the human and divine natures of Christ and/or contested that Mary could be called Mother of God – a view that had been viciously propagated by the orthodox Cyril of Alexandria.
Origen and a form of apocatastasis (predicated on the idea of eternal return) were condemned at the ‘local’ Synod of Constantinople (543) by the Patriarch Mennas of Constantinople and the condemnation was ratified in 553 by the Fifth Ecumenical Council
The Fifth Ecumenical Council addressed what was called “The Three Chapters”[58] and was against a form of Origenism which truly had nothing to do with Origen and Origenist views. In fact, Popes Vigilius, Pelagius I (556-61), Pelagius II (579-90), and Gregory the Great (590-604) were only aware the Fifth Council specifically dealt with the Three Chapters and make no mention of Origenism or Universalism, nor spoke as if they knew of its condemnation even though Gregory the Great was opposed to the belief of universalism.
(Done in a hurry - cut and pasted from three wiki articles with added comments by me )