I don’t see the discrepancy between His list and Exodus and Deuteronomy.Jesus actually recited them. He had to, after being asked which commandments he meant.
Images and the Sabbath are covered under the First.He gave the list but avoided two- concerning images and the Sabbath.
In my humble opinion, you need to join the dots between the narratives.Christ responded to the young man, " You know the commandments, Do not commit adultery, Do not kill, Do not steal, Do not bear false witness, Honour your father and mother", Luke 18:20. Which of these covers the images and the Sabbath?
28 One of the teachers of the law came and heard them debating. Noticing that Jesus had given them a good answer, he asked him, “Of all the commandments, which is the most important?”
29 “The most important one,” answered Jesus, “is this: ‘Hear, O Israel: The Lord our God, the Lord is one. 30 Love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength.’ 31 The second is this: ‘Love your neighbor as yourself. There is no commandment greater than these.”
32 “Well said, teacher,” the man replied. “You are right in saying that God is one and there is no other but him. 33 To love him with all your heart, with all your understanding and with all your strength, and to love your neighbor as yourself is more important than all burnt offerings and sacrifices.”
34 When Jesus saw that he had answered wisely, he said to him, “You are not far from the kingdom of God.” And from then on no one dared ask him any more questions.
34 Then the king will say to those on his right, ‘Come, you who are blessed by my Father. Inherit the kingdom prepared for you from the foundation of the world. 35 For I was hungry and you gave me food, I was thirsty and you gave me drink, a stranger and you welcomed me, 36 naked and you clothed me, ill and you cared for me, in prison and you visited me.’ 37 Then the righteous will answer him and say, ‘Lord, when did we see you hungry and feed you, or thirsty and give you drink? 38 When did we see you a stranger and welcome you, or naked and clothe you? 39 When did we see you ill or in prison, and visit you?’ 40 And the king will say to them in reply, ‘Amen, I say to you, whatever you did for one of these least brothers of mine, you did for me.’ 41 [q]Then he will say to those on his left, ‘Depart from me, you accursed, into the eternal fire prepared for the devil and his angels. 42 For I was hungry and you gave me no food, I was thirsty and you gave me no drink, 43 a stranger and you gave me no welcome, naked and you gave me no clothing, ill and in prison, and you did not care for me.’ 44 [r]Then they will answer and say, ‘Lord, when did we see you hungry or thirsty or a stranger or naked or ill or in prison, and not minister to your needs?’ 45 He will answer them, ‘Amen, I say to you, what you did not do for one of these least ones, you did not do for me.’ 46 And these will go off to eternal punishment, but the righteous to eternal life.”