In this work, we undertake a coordinate-free investigation of a specific type of anisotropic conformal change combined with a Randers-type deformation applied to a Finsler function \( L \) . Let \((M, L)\) be a Finsler manifold and let \( \mathfrak {B} \) be a given one-form. We define the transformed Finsler function by \( \widetilde{L}(x, \dot{x}) = e^{\sigma (x, \dot{x})} L(x, \dot{x}) + \mathfrak {B}(x, \dot{x}), \) where the conformal factor is given by \( \sigma (x, \dot{x}):= \frac{\mathfrak {B}(x, \dot{x})}{L(x, \dot{x})} \) . The resulting space is referred as a generalized Randers-anisotropic conformal metric. We express various geometric structures associated with the transformed metric \( \widetilde{L} \) in terms of the original metric \( L \) , and derive explicit formulas for fundamental tensors such as the metric tensor, the Cartan tensor, and related quantities. A condition ensuring the non-degeneracy of the transformed metric tensor is also identified. To further explore geometric features such as the geodesic spray, the Barthel connection, and the Berwald connection, we consider the special case in which the one-form \( \mathfrak {B} \) is generated by a concurrent \( \pi \) -vector field. Under this assumption, the curvature of the Barthel connection associated with \( \widetilde{L} \) is computed. Finally, an illustrative example is provided.
