Exodus 12:5 shows the Lamb can be taken out of the sheep or the Goats. It is hard to think of a "Goat Lamb." But God said the lamb can be either.
Problem is, The Sin offering had to be a Goat. "We all as SHEEP have gone astray." But Jesus did not go astray. Did we have the same problem Moses did. Not being able to find the Sin offering.
Leviticus 10:16 "And Moses diligently sought the goat of the sin offering, and behold, it was burnt:"
The Nation of Israel is still looking for the sin offering, But it has already been burnt. (God's word like as a fire in Jeremiah 23:29)
Consider this part of the law.
Two goats were to be taken. (Leviticus 16:6/10) A lot was to be cast. One for the Lord, and the other for a Scapegoat (Escapegoat would be a better word) The lot for the Lord was to be offered for sin. the Scapegoat would be set free. Sounds like Jesus and Barabbas to me.
Remember sin was PLACED upon the Goat.
Zechariah 10:3, Mine anger was kindled against the shepherds; and I punished the goats;
Zechariah 10:6 shows they will be as if the Lord had not cast them off.
Jeremiah 12:1/3 shows the Sheep are the wicked. So when Jesus renders to man His righteousness in Job 33:26. Our righteousness is as filthy rags, Because Jesus gave us His.
Through Jesus we feed the hungry, clothed the naked, etc. The Sheep answered "When saw we thee a hungry, and fed thee?" Because Jesus did the works, we get the credit.
Ken