  Activity in nematics drives interfacial flows that lead to preferential
alignment that is tangential or planar for extensile systems (pushers) and
perpendicular or homeotropic for contractile ones (pullers). This alignment is
known as active anchoring and has been reported for a number of systems and
described using active nematic hydrodynamic theories. The latter are based on
the one-elastic constant approximation, i.e., they assume elastic isotropy of
the underlying passive nematic. Real nematics, however, have different elastic
constants, which lead to interfacial anchoring. In this paper, we consider
elastic anisotropy in multiphase and multicomponent hydrodynamic models of
active nematics and investigate the competition between the interfacial
alignment driven by the elastic anisotropy of the passive nematic and the
active anchoring. We start by considering systems with translational invariance
to analyze the alignment at flat interfaces and, then, consider two-dimensional
systems and active nematic droplets. We investigate the competition of the two
types of anchoring over a wide range of the other parameters that characterize
the system. The results of the simulations reveal that the active anchoring
dominates except at very low activities, when the interfaces are static. In
addition, we found that the elastic anisotropy does not affect the dynamics but
changes the active length that becomes anisotropic.
