  We introduce the notion of G-algebroid, generalising both Lie and Courant
algebroids, as well as the algebroids used in $E_{n(n)}\times\mathbb{R}^+$
exceptional generalised geometry for $n\in\{3,\dots,6\}$. Focusing on the
exceptional case, we prove a classification of "exact" algebroids and translate
the related classification of Leibniz parallelisable spaces into a tractable
algebraic problem. After discussing the general notion of Poisson-Lie duality,
we show that the Poisson-Lie U-duality is compatible with the equations of
motion of supergravity.
