Given a pair of augmentations for Legendrian contact homology, we define a linearized homology that generalizes the usual linearized Legendrian contact homology. This variant satisfies properties and carries algebraic structures similar to the usual linearization, but contains more information. In particular, it can be used to easily distinguish homotopy classes of augmentations and Lagrangian fillings. This is joint work with Baptiste Chantraine and Petya Pushkar.