How do Orthodox Christians explain that the Father and the Son are not two different Gods? How do Orthodox Christians explain that the Father and the Son are not two different Gods?
Orthodox Christians had a different version of the Trinity in that for them the one God  is the Father as found in the Nicene Creed and 1 Cor 8:6 (this is in contrast with the Athanasian creed which affirms that the one God is the Trinity).
The Orthodox teaches that the one God is the Father in the sense that (a) everything came from him and (b) he himself came from no one else. That is, by being the &quot;Father&quot; ( = origin of all things), the first person of the Trinity is rightly ascribed the &quot;Monarchy&quot; (Greek: μοναρκια -  the sole rule). (cf. John 17:3, 1 Cor 8:6, 15:26-27).
In this case, there is a different definition of θεος for the Father that is not applicable to the Son and the Holy Spirit. In this sense, the Son and the Holy Spirit are unlike the Father. Neither the Son nor the Spirit is God (θεος) in the same sense as the Father in the aforementioned New Testament texts. How do Orthodox Christians explain that the Father and the Son (and the Holy Spirit) are not  different Gods?

This  question seeks an answer from Orthodox Christianity preferably with both scriptural and patristic sources.
The two Creeds are not different in respect of there being two/three Gods, because there is only one God, period. What's different is the &quot;emphasis&quot; of the two Creeds. The following explains it.
&quot;The chief difference between the Nicene Creed and the Athanasian Creed is one of emphasis. The Nicene Creed emphasized the full deity of the Son and of the Holy Ghost and it only implies, rather than explicitly explains the oneness of God. The Athanasian Creed, leaving nothing to be assumed, brings in the idea of the inviolate Oneness of God (there is only one God, not three.) 8. The Athanasian Creed also deals with one additional error. At the time there were controversies being raised by some about the person and nature of Jesus Christ and whether or not He was both true God and true man. All of the rationalizations, in one way or another, either removed from Jesus his true humanity or his true divinity or the idea that there was just one Jesus who was both true God and true man. 9. The Church Year: Early Christians took the incarnation very seriously: They expected to follow the life example of Christ. They followed the church calendar through the various segments of Christ’s life. In the Western Churches, the Church Year was and remains to this day, divided into two almost-equal parts: the first some have called “The Life of Christ” while the second is “The Christian Life.” 10. The Year begins with Advent – a time of reflection in anticipation of the coming of Christ. Advent is followed by Epiphany, celebrating the revealing of Christ as God’s anointed one.&quot; https://www.coursehero.com/file/p5g865/The-chief-difference-between-the-Nicene-Creed-and-the-Athanasian-Creed-is-one/
You might find the following article informative as it relates to the &quot;Patristic&quot; fathers. https://www.monergism.com/thethreshold/articles/onsite/qna/patristics.html