  We construct a model explaining dark matter, baryon asymmetry and reheating
in quintessential inflation model. Three generations of right-handed neutrinos
having hierarchical masses, and the light scalar field leading to
self-interaction of active neutrinos are introduced. The lightest sterile
neutrino is a dark matter candidate produced by a Dodelson-Widrow mechanism in
the presence of a new light scalar field, while the heaviest and the next
heaviest sterile neutrinos produced by gravitational particle production are
responsible for the generation of the baryon asymmetry. Reheating is realized
by spinodal instabilities of the Standard Model Higgs field induced by the
non-minimal coupling to the scalar curvature, which can solve overproduction of
gravitons and curvature perturbation created by the Higgs condensation.
