  The magnetopolaronic generalization of a Majorana-resonant-level (-MRL) model
is considered for a single-level vibrating quantum dot symmetrically coupled to
two half-infinite $g=1/2$- Tomonaga-Luttinger liquid (-TLL) leads at the
Toulouse point. At the resonance by gate voltage the exact solution for the
effective transmission coefficient is obtained in the whole range of
magnetopolaronic coupling constant values. The obtained exact solution exists
due to special Majorana-like symmetry of tunnel Hamiltonian and gives rise to
nontrivial interference between different virtual vibronic channels of resonant
tunneling with different fixed Aharonov-Bohm phases. This fact leads to a novel
topologically nontrivial type of resonant Andreev-like magnetopolaronic
tunneling in the system. As the result, in the zero-temperature limit, it is
impossible to compensate the magnetopolaronic blockade in magnetopolaronic
MRL-model by means of bias voltage, if vibron energy is the smallest (but
nonzero) energy parameter in the system.
