  For studies of quark matter in astrophysical scenarios the thermodynamic bag
model (tdBag) is commonly employed. Although successful, it does not account
for dynamical chiral symmetry breaking (D$\chi$SB) and repulsions due to the
vector interaction which is crucial to explain recent observations of massive,
two solar mass neutron stars. In Kl\"ahn & Fischer (2015) we developed the
novel vBag quark matter model which takes these effects into account. This
article extends vBag to finite temperatures and isospin asymmetry. Another
particular feature of vBag is the determination of the deconfinement bag
constant $B_{\rm dc}$ from a given hadronic equation of state (EoS) in order to
ensure that chiral and deconfinement transitions coincide. We discuss
consequences of this novel approach for the phase transition construction, the
phase diagram, and implications for protoneutron stars.
