  In this article, we are concerned with the Langlands functoriality
conjecture. Cogdell, Kim, Piatetski-Shapiro and Shahidi proved functioriality
conjecture in the case of a globally generic cuspidal automorphic
representation for the split classical groups, unitary groups or even
quasi-split special orthogonal groups in characteristic zero. Lomel\'i extends
this result to split classical groups and unitary groups in positive
characteristic. Thus, in this article we prove the Langlands functoriality
conjecture for the even quasi-split non-split special orthogonal groups in
positive characteristic i.e. we lift globally generic cuspidal automorphic
representations of quasi-split non-split even special orthogonal groups to
generic automorphic representations of suitable general linear groups in
positive characteristic. As an application of this result, we prove the
compatibility of the local gamma factors and the unramified Ramanujan
conjecture.
