  Using the path integral formulation in Euclidean space, we extended the
calculation of the abelian chiral anomalies in the case of Lorentz violating
theories by considering a new fermionic correction term provided by the
standard model extension, which arises in the continuous Hamiltonian of a
weakly tilted Weyl semimetal, and whose cones have opposite tilting. We found
that this anomaly is insensitive to the tilting parameter, retaining its
well-known covariant form. This independence on the Lorentz violating
parameters is consistent with other findings reported in the literature. The
initially imposed gauge invariant regularization was consistently recovered at
the end of the calculation by the appearance of highly non-trivial combinations
of the covariant derivatives, which ultimately managed to give only terms
containing the electromagnetic tensor. We emphasize that the value of the
anomaly with an arbitrary parameter is not automatically related to the
effective action describing the electromagnetic response of such materials
