  The gravitational-wave detection by the LIGO-Virgo scientific collaboration
shows that the black hole and neutron star (BH-NS) or BH-BH systems with a BH
mass of tens of solar masses widely exist in the universe. Two main types of
scenarios have been invoked for the formation of BH-NS/BH systems, including
isolated binary evolution in galactic fields and dynamical interactions in
dense environments. Here we propose that if the BH-NS/BH systems are formed
from isolated binary evolution, the supernova (SN) signal associated with the
second core collapse would show some identifiable features, due to the
accretion feedback from the companion BH. Depending on the binary properties,
we show that the SN lightcurve could present a sharp peak around $\sim10$ days,
with luminosity even at the level of the super luminous SNe ( e.g.
$\sim10^{44}~\rm erg~s^{-1}$) or present a plateau feature lasting for several
tens of days with regular luminosity of core collapse SNe. Comparing the event
rate density of these special SN signals with the event rate density of
LIGO-Virgo detected BH-NS/BH systems could help to distinguish the BH-NS/BH
formation channel.
