  A black hole (BH) hyperaccretion system might be born after the merger of a
BH and a neutron star (NS) or a binary NS (BNS). In the case of a high mass
accretion rate, the hyperaccretion disk is in a state of neutrino-dominated
accretion flow (NDAF) and emits numerous anisotropic MeV neutrinos. Only a
small fraction of these neutrinos annihilates in the space outside of the disk
and then launch ultrarelativistic jets that break away from the merger ejecta
to power gamma-ray bursts. Mergers and their remnants are generally considered
sources of gravitational waves (GWs), neutrinos, and kilonovae. Anisotropic
neutrino emission and anisotropic high-velocity material outflows from central
BH-NDAF systems can also trigger strong GWs and luminous disk-outflow-driven
(DOD) kilonovae, respectively. In this paper, the anisotropic multimessenger
signals from NDAFs with outflows, including DOD kilonovae, MeV neutrinos, and
GWs, are presented. As the results, the typical AB magnitude of the DOD
kilonovae is lower than that of AT 2017gfo at the same distance, and it
decreases with increasing viewing angles and its anisotropy is not sensitive to
the outflow mass distribution but mainly determined by the velocity
distribution. Since neutrinos with $\gtrsim 10~\rm MeV$ are mainly produced in
the inner region of the disk, they will be dramatically deflected to a large
viewing angle by relativity effects. Moreover, the strains of GWs induced by
anisotropic neutrinos increase with increasing viewing angles. The accumulation
of multimessenger detection of the BH-NS/BNS mergers with different viewing
angles might further verify the existence of NDAFs with outflows.
