We show that equivariant tilting modules over equivariant algebras induce equivalences of derived factorization categories. As an application, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived factorization category of a noncommutative gauged Landau-Ginzburg model (Λ, χ, w) Gm , where Λ is a noncommutative resolution of the quotient singularity W/ GSp(Q) arising from a certain representation W of the symplectic similitude group GSp(Q) of a symplectic vector space Q.