Following are quotes taken from The Non-Chalcedonian Heretics: A Contribution to the Dialogue
Concerning the "Orthodoxy" of the Non-Chalcedonians...
433: St. Cyril explicitly accepts two natures after the hypostatic union in his "Epistle to John of Antioch" (the Agreements of 433):
"With regard to the Evangelical and Apostolic expressions concerning the Lord, we know that men who are skilled in theology make some of them common to the one Person, while they divide others between the two Natures, ascribing those that are fitting to God to Divinity of Christ, and those that are lowly to His Humanity. On reading these sacred utterances of Yours, and finding that we ourselves think along the same linesfor there is one Lord, one Faith, one Baptism, we glorified God the Saviour of all" [John Karmiris, Dogmatic and Creedal Statements of the Orthodox Church, Vol. 1 [Athens:1960]. p. 154], quoted in The Non-Chalcedonian Heretics, p 11]
Saint Cyril replies to extremists who questioned the Agreements:
"We have not gone so mad as to anathematize our own views; but we abide by what we have written and by our way of thinking" [Epistle XXXVII, to Theognostos, Patrologia Graeca, Vol. LXXVII, Col. 169C; quote in The Non-Chalcedonian Heretics, p. 12].
448: The Permanent Synod of Constantinople under Patriarch Flavian condemns Eutyches who rejects St. Cyrils Agreements.
449: Dioscoros presides over the Robber Synod and exonerates Eutyches, and deposes St. Flavian (who is beaten to death and replaced by an Alexandrian), and condemns all who accept the Agreements and anathematizes all who confess two natures [Fr. Geoges Florovsky, The Byzantine Fathers of the Fifth Century (Thessaloniki:1992), p 470; referenced in The Non-Chalcedonian Heretics, p. 13].
451: The Fourth Ecumenical Synod adopts all the teachings of St. Cyril, and condemns those who selectively choose some of them and reject others as heretical. St. Flavian is vindicated and the Robber Synod Annulled.
457: Timothy Ailouros (another Monophysite "saint") condemns Saint Cyril on account of the agreements:
"Cyril... having excellently articulated the wise proclamation of Orthodoxy, showed himself to be fickle and is to be censured for teaching contrary doctrine: after previously proposing that we should speak of one nature of God the Word, he destroyed the dogma that he had formulated and is caught professing two Natures of Christ" [Timothy Ailouros, "Epistles to Kalonymos," Patrologia Graeca, Vol LXXXVI, Col. 276; quoted in The Non Chalcedonian Heretics, p. 13].
499: Philoxenos of Hierapolis convenes a synod in Constantinople and deposes the Orthodox Patriarch of Antioch (Flavian), and Severos, a Disciple of Timothy Ailouros (and another Monophysite "saint") is installed in his place [Ibid., p 14].
Severos also condemns St. Cyril's Agreements:
"The formulae used by the Holy Fathers concerning two Natures united in Christ should be set aside, even if they be Cyril's" [Patrologia Graeca, Vol. LXXXIX, Col. 103D. Saint Anastasios of Sinai preserves this quote of Severos in his works; quoted in The Non-Chalcedonian Heretics, p. 12].