  We consider flux compactification of type II string theory with local sources
on SU(3)-structure manifolds. By adding pseudo-calibrated anti-$Dp$-branes
wrapped on supersymmetric cycles we generalize all existing models so that the
effective $d=4,$ ${\cal N}=1$ supergravity now includes a nilpotent multiplet.
We present a new dictionary between string theory models and K{\"a}hler
potential $K$ and superpotential $W$ for these dS supergravities with a
nilpotent multiplet and non-linearly realized local supersymmetry. In addition
to KKLT and LVS with uplifting $\overline{D3}$-branes, we have now new models
with uplifting $\overline{D5}$, $\overline{D6}$, $\overline{D7}$,
$\overline{D9}$-branes. The new uplifting contribution to the supergravity
potential due to Volkov-Akulov supersymmetry is universal. As one application
of our general result, we study classical flux compactifications of type IIA
supergravity and find that a previously discovered universal tachyon is now
absent.
