  We compute spin-orbit effects in the equations of motion, binding energy and
energy loss of binary systems of compact objects at the next-to-leading order
in the post-Newtonian (PN) approximation in the effective field theory (EFT)
framework. We then use these quantities to compute the evolution of the orbital
frequency and accumulated orbital phase including spin-orbit effects beyond the
dominant order. To obtain the results presented in this paper, we make use of
known ingredients in the EFT literature, such as the potential and the
multipole moments with spin effects at next-to-leading order, and which are
given in the linearized harmonic gauge and with the spins in the locally flat
frame. We also obtain the correction to the center-of-mass frame caused by
spin-orbit effects at next-to-leading order. We demonstrate the equivalence
between our EFT results and those which were obtained elsewhere using different
formalisms. The results presented in this paper provide us with the final
ingredients for the construction of theoretical templates for gravitational
waves including next-to-leading order spin-orbit effects, which will be
presented in a future publication.

General Relativity and Quantum Cosmology;High Energy Physics - Theory