[en] We construct dual Lagrangians for G/H models in two space-time dimensions for arbitrary Lie Groups G and H is a subset of G. Our approach does not require choosing coordinates on ((G)/(H)), and allows for a natural generalization to Poisson-Lie T-duality. For the case where the target metric on G/H is induced from the invariant group metric on G, the dual system is a gauged Higgs model, with a non-constant metric and a coupling to an antisymmetric tensor. The dynamics for the gauge connection is governed by a BF-term. Poisson-Lie T-duality is relevant once we allow for a more general class of target metrics, as well as for couplings to an antisymmetric tensor, in the primary theory. Then the dual theory is written on a group G-bar dual to G, and the gauge group H (which, in general, is not a subgroup of G-bar) acts non-linearly on G-bar. The dual system therefore gives a non-linear realization of a gauge theory. All dual descriptions are shown to be canonically equivalent to the corresponding primary descriptions, at least at the level of the current algebra