They will not produce babies. Although, scientists can take sperm from one species of iguana and an egg from the other species of the iguana and make a baby. But, that baby will not be able to reproduce.
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The male will try to impress the female by bobbing it's head and showing it's dewlap. After the female has chosen the male they will position themselves by linking their tails togeather. Then the female will be pregnant and dig a hole to lay her eggs. After she has done this, she will lay her eggs and about 45 days later you will have baby green anoles. Hope this helps =]
Green iguanas do migrate in order to mate. Females may migrate up to 1.8 miles to find a suitable nesting site for mating.