  The low-energy quasiparticle states in the mixed state of most
superconductors remain Bloch waves due to the presence of supercurrent around
vortex cores. In contrast, the Weyl superconductor (WSC) may display
Dirac-Landau levels in the presence of a vortex lattice. Here, we investigate
the Landau level (LL) structure and optical conductivity in the mixed state of
a generic WSC using a heterostructure model, where the tilt of the
Bogoliubov-Weyl (BW) cones can be tuned, yielding either type-I (undertilted)
or type-II (overtilted) cones. We find that, in a magnetic field, the tilted
type-I BW cone in the mixed state may exhibit squeezed LLs with reduced
spacings. On the other hand, the spectrum of type-II cones shows a dependence
on the angle between the magnetic field and the tilt direction; LL quantization
is only possible if the angle is below a critical value. For zero tilt, the
optical conductivity in the mixed state of the WSC shows peaks only at photon
frequencies $\omega_n \propto \sqrt{n}+\sqrt{n+1}$, with a linear background.
However, the tilt of BW cones results in the emergence of optical transitions
beyond the usual dipolar ones. For type-II BW cones, unique intraband
transition conductivity peaks emerge at low frequency, which can serve as an
indicator to distinguish between type-I and type-II BW cones in WSCs.
