Responsa על נחמיה 9:5

They responded: "How pious are these generations!" (Yevamot 39b:15) "All that Sarah says to you, listen to her voice!" (Genesis 21:12) "Go and say to them, return to your tents and bless your God!" (Deuteronomy 5:27, Nehemiah 9:5) The proof is from Channukah candles and megillah reading. They explained to me that just as in these cases, since the women were involved in the original miracle they are obligated to perform the commandment and recite the blessing, so too with the Lulav, we find that the [entire] Jewish people have only one heart directed to their Father in heaven (Sukkah 45b.9). So too with the Shofar, we are taught that the Holy One said: bring me [verses of] kingship, that I may be your king, and [verses of] remembrance, that the memory of your ancestors come before Me favourably, and all of that, with a Shofar. (Rosh Hashanah 34b.7) Now, women also need to be remembered before Him favourably. Therefore, if they recite the blessings for these commandments, they have permission to do so.^*This is also the opinion of Rabbeinu Tam, quoted in Tosafot on Rosh Hashanah 33a:5