  Cotunneling into Kondo systems, where an electron enters a $f$-electron
material via a cotunneling process through the local-moment orbital, has been
proposed to explain the characteristic lineshapes observed in
scanning-tunneling-spectroscopy (STS) experiments. Here we extend the theory of
electron cotunneling to Kondo-lattice systems where the bulk hybridization
between conduction and $f$ electrons is odd under inversion, being particularly
relevant to Kondo insulators. Compared to the case of even hybridization, we
show that the interference between normal tunneling and cotunneling processes
is fundamentally altered: it is entirely absent for layered, i.e.,
quasi-two-dimensional materials, while its energy dependence is strongly
modified for three-dimensional materials. We discuss implications for STS
experiments.
