Q. On question 3114 you mentioned that the Shira when properly said and with the true joy of someone having just crossed the sea and saved his own life and the life of his dear ones, the Shira gains forgiveness for all the sins committed, as Mishna Berurah (51: 17) quotes from the Zohar. And since women also sang the Shira as mentioned in Parshas Beshalach, it is reasonable that they are included in the same principle.
Should a man who came late to davening and omitted the Shira to be able to daven with the minyan, say the shira after davening with great simcha as women should do?
A. Shulchan Aruch (O.H. 52) rules that one who missed Pesukei Dezimra before the Amida should recite them after. It is reasonable that he has to recite the Shira in a way similar to before.
Horav Shlomo Miller's Shlit'a opinion is similar.
Rabbi A. Bartfeld as advised by Horav Shlomo Miller and Horav Aharon Miller Shlit'a