Authentic Shia Hadeeths refute the claim of creating Ave( Hawwa) from a rib of Adam. This claim has come to some Muslims from non Muslims as you find it in the Jewish books.
When you find such claim in some Shia books, it means that such books have taken it from Sunni books, as we have many Shia books mentioning Sunni narrations which are not authentic in our books. Such narrations have no value for us, especially when we have authentic narrations refuting the contents of it.
Refuting the "Rib" claim has come very clearly from many Infallible Imams e.g.
1. Imam Mohammad Al-Baqir (AS) who was asked by Amr Ibn Abi Al- Miqdad: From what Allah has created Ave (Hawwa) ? Imam Al-Baqir asked him: What do people say? He said: They say that she was created from a rib of Adam. Imam Al-Baqir (AS) said: They are lying. Was it difficult for Allah to create her but only from Adam's rib? In fact, Allah created Hawwa frm the same clay from which He created Adam. (Biharul Anwaar from Tafseer Al-Ayaashi).
2. Imam Jafar Al-Sadiq (AS) has refuted this false claim in a Hadeeth which was narrated through authentic chain of narrators and mentioned in books like Manlaa Yahdharul Faqeeh 3/379 and 'Elal Al-Shara'i 1/17.