If a couple gets divorced after adopting a child, what are the legal issues with regard to the child?

After adoption, the child’s connections with the family of birth are broken off and replaced by the ties created by the adoption in the adoptive family. The adopted child becomes the child of the adoptive parents, and the adoptive parents become the parents of the child, as if the child had been born to them, for all purposes.

Hence, the couple getting divorced will face the same legal issues as they would face with their biological child. While divorcing, some legal issues related to children are child custody, child support etc.