We report the neutron scattering results on magnetic orderings and excitations in Ba2CoTeO6 composed of two almost isolated subsystems A and B, which are described as an S = 1/2 triangular Heisenberg-like antiferromagnet and a frustrated honeycomb Ising-like antiferromagnet, respectively. Stripy ordering of subsystem B was confirmed below TN1 = 12.0 K, whereas sharp streaks were observed along (1/3, 1/3, L) and (2/3, 2/3, L) at 0.3 K ( TN2 = 3.0 K). This indicates the twodimensional nature of ordering in subsystem A. It was found that the excitation spectra of both subsystems are well separated and independent of each other. The excitation spectrum of subsystem A is composed of two single-magnon branches with roton-like minima at the M point and a clearly structured intense continuum, as similarly observed in Ba3CoSb2O9, which is strongly indicative of spinon excitations. Dispersion curves for subsystem B can be described by linear spin wave theory within the third-neighbor exchange interaction.