How do you breed a green sheep in minecraft?

Solution 1:

Two green sheep will make another green sheep, or one blue and one yellow.

From the wiki:

If the parents have 'compatible' wool colours (meaning that the corresponding dye items could be combined into a third dye colour), the resulting lamb will be a mix of their colours (e.g., blue sheep + white sheep = light blue lamb).

Additionally, using a dye on the sheep itself will permanently change the colour of the sheep's wool.