Yosef Karo, Translation:Shulchan Aruch — Orach Chaim 601…
“ The haftarah is from Jeremiah, "Thus spoke God: [the nation] found favor in the wilderness" [Jeremiah 31:2] until "Is not Ephraim my precious son?" [Jeremiah 31:20] . At the conclusion of Rosh Hashanah, we do Havdalah just like at the conclusion of Shabbat except for we do not bless on spices or fire. ”
