  Insulating honeycomb ferromagnet CrI$_3$ has recently attracted considerable
attention due to its potential use for dissipationless spintronics
applications. Recently, topological spin excitations have been observed
experimentally in bulk CrI$_3$ by L. Chen, et al. [Phys. Rev. X ${\bf 8}$,
041028 (2018)] using inelastic neutron scattering. This suggest that bulk
CrI$_3$ has strong spin-orbit coupling and its spin Hamiltonian should include
a next-nearest neighbour Dzyaloshinskii-Moriya (DM) interaction. Inspired by
this experiment, we study non-equilibrium emergent photon-dressed topological
spin and thermal Hall transports in laser-irradiated CrI$_3$ with and without
the DM interaction. We show that the spin excitations can be manipulated into
different topological phases with different Chern numbers. Most importantly, we
show that the emergent photon-dressed spin and thermal Hall response can be
switched to different signs. Hence, the generated magnon spin photocurrents can
be manipulated by the laser field, which is of great interest in ultrafast spin
current generation and could pave the way for future applications of CrI$_3$ to
topological opto-spintronics and opto-magnonics.
