In R’ Moshe’s 5740 Teshuvah, he provides guidance about how to handle a ring exchange when absolutely necessary:
When a particular rabbi finds himself at some wedding, and they are compelling him, and he is forced by the need to maintain his livelihood to perform the kiddushin specifically in such a manner that the kallah will also give a ring to the chosson, he must inform them, and the witnesses as well, that it is only the chosson’s giving of the ring to the kallah that constitutes the kinyan (act of solemnization) of the kiddushin, and the kallah’s gift to the chosson has no connection to the kiddushin at all, but is a mere gift. And her statement (when giving the ring) should utilize language indicating that this is a gift of love and affection now that he is already her husband.
R’ Asher Weiss (Shu”t Minchas Asher, Vol. 3 end of siman 98), too, adds a caveat to his view that double-ring ceremonies are presumptively invalid: If it is possible that the officiating rabbi explained to the couple that it is actually the man who performs the kiddushin, but the woman chose to emulate the non-Jewish custom and give the man a ring nonetheless, then the fact that a double-ring ceremony was performed cannot completely vitiate the validity of the marriage, and in such a marriage a get would be required.
