  We present two pairs of Y($sl_2$) Yangian symmetries for the trigonometric
and hyperbolic versions of the Hubbard model with non-nearest-neighbour
hopping. In both cases the Yangians are mutually commuting, hence can be
combined into a Y($sl_2$)$\oplus$Y($sl_2$) Yangian. Their mutual commutativity
is of dynamical origin. The known Yangians of the Haldane-Shastry spin chain
and the nearest neighbour Hubbard model are contained as limiting cases of our
new representations.

Condensed Matter;High Energy Physics - Theory