First things first, the U.S. divorce decree is not directly enforceable in India as the U.S. is not one of the “reciprocating” territories for the purposes of section 44A of CPC. Reciprocating territories are those countries decrees of whose superior courts can be enforced under section 44A of CPC as if they were decrees passed by an Indian district court. Section 13 of the CPC lays down as to when foreign court orders can’t be held to be conclusive—for instance, if they are passed by a court without proper jurisdiction over the matter.
Coming to your criminal case now.
All said, if there is something in the foreign decree you believe is likely to help you in the criminal case, you can present the U.S. court divorce order before the criminal court. Or you can even use it in a petition for discharge or quashing under Section 482 ( if any) to support your case.
If it is contended by the other side that the court should not place reliance on the foreign judgement as the court in the U.S. did not have jurisdiction to grant such divorce, you can counter by arguing that the wife voluntarily subjected herself to that court’s jurisdiction and gladly accepted the money awarded there. (Note: CrPC itself does not have any provision analogous to ss. 44A and 13 CPC.)
I hope you have your answer. Follow-up queries welcome in case you need any clarification!