  We discuss new exact solutions to nonminimally extended Einstein-Yang-Mills
equations describing spherically symmetric static wormholes supported by the
gauge field of the Wu-Yang type in a dark energy environment. We focus on the
analysis of three types of exact solutions to the gravitational field
equations. Solutions of the first type relate to the model, in which the dark
energy is anisotropic, i.e., the radial and tangential pressures do not
coincide. Solutions of the second type correspond to the isotropic pressure
tensor; in particular, we discuss the exact solution, for which the dark energy
is characterized by the equation of state for a string gas. Solutions of the
third type describe the dark energy model with constant pressure and energy
density. For the solutions of the third type, we consider in detail the problem
of horizons and find constraints for the parameters of nonminimal coupling and
for the constitutive parameters of the dark energy equation of state, which
guarantee that the nonminimal wormholes are traversable.
