  We propose a new construction of the supergravity inflation as an UV
completion of the Higgs-$R^2$ inflation. In the dual description of
$R^2$-supergravity, we show that there appear dual chiral superfields
containing the scalaron or sigma field in the Starobinsky inflation, which
unitarizes the supersymmetric Higgs inflation with a large non-minimal coupling
up to the Planck scale. We find that a successful slow-roll inflation is
achievable in the Higgs-sigma field space, but under the condition that higher
curvature terms are introduced to cure the tachyonic mass problems for
spectator singlet scalar fields. We also discuss supersymmetry breaking and its
transmission to the visible sector as a result of the couplings of the dual
chiral superfields and the non-minimal gravity coupling of the Higgs fields.
