The non-equilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is extended to describe the positional and orientational thermal fluctuations of the instantaneous local concentration profile n(r, Ω, t) of a suddenly-quenched colloidal liquid of particles interacting through non spherically-symmetric pairwise interactions, whose mean value n(r, Ω, t) is constrained to remain uniform and isotropic, n(r, Ω, t) = n(t). Such self-consistent theory is cast in terms of the time-evolution equation of the covariance σ(t) = δn lm (k; t)δn † lm (k; t) of the fluctuations δn lm (k; t) = n lm (k; t)−n lm (k; t) of the spherical harmonics projections n lm (k; t) of the Fourier transform of n(r, Ω, t). The resulting theory describes the non-equilibrium evolution after a sudden temperature quench of both, the static structure factor projections S lm (k, t) and the two-time correlation function F lm (k, τ ; t) ≡ δn lm (k, t)δn lm (k, t + τ ), where τ is the correlation delay time and t is the evolution or waiting time after the quench. As a concrete and illustrative application we use the resulting self-consistent equations to describe the irreversible processes of equilibration or aging of the orientational degrees of freedom of a system of strongly interacting classical dipoles with quenched positional disorder.