  We present a family of N=1 supersymmetric backgrounds in type-IIA
supergravity and their lifts to eleven-dimensional supergravity. These are of
the form $AdS_5 \times X^5$ and are characterised by an $SU(2)$ structure. The
internal space, $X^5$, is obtained from the known Sasaki-Einstein manifolds,
$Y^{p,q}$, via an application of non-Abelian T-duality.
