bārayāṯā or in Hebrew baraitot; also baraitha, beraita; Ashkenazi pronunciation: berayse) designates a tradition in the Oral Torah of Rabbinical Judaism that is not incorporated in the Mishnah.
Originally, "Baraita" probably referred to teachings from schools outside the main Mishnaic-era yeshivas – although in later collections, individual barayata are often authored by sages of the Mishna (Tannaim).
The main collections of barayata are the Tosefta and the Halakhic Midrashim (Mekhilta, Sifra and Sifre).
Nevertheless, these works are the basic "proof-text" cross-referenced by the Talmudic sages in their analysis and interpretation of the Mishna; see Gemara.
For example, the second chapter of Kallah Rabbathi, a baraita compilation, is often appended to Pirkei Avot, as both are similar in style and content.