  The most general class of warped AdS5 x M6 supersymmetric solutions in D=11
supergravity permit a consistent truncation to D=5 N=2 minimal gauged
supergravity. Here we extend this truncation, for a particular subclass of M6
manifolds, to D=5 N=4 gauged supergravity coupled to two vector multiplets. We
obtain the reduction ansatz by T-duality of a recently discussed type IIB
truncation on a generic Sasaki-Einstein five-fold, which becomes non-trivial in
D=11 and displays non-standard features due to the G-structure of the internal
M6. Using this truncation, we construct two new classes of warped and unwarped
non-supersymmetric AdS5 M-theory backgrounds. We also comment on possible
extensions of the reduction ansatz to the general class of M6 geometries.
