  We establish new examples of augmentations of Legendrian twist knots that
cannot be induced by orientable Lagrangian fillings. To do so, we use a version
of the Seidel-Ekholm-Dimitroglou Rizell isomorphism with local coefficients to
show that any Lagrangian filling point in the augmentation variety of a
Legendrian knot must lie in the injective image of an algebraic torus with
dimension equal to the first Betti number of the filling. This is a
Floer-theoretic version of a result from microlocal sheaf theory. For the
augmentations in question, we show that no such algebraic torus can exist.
