  We apply the 1+1+2 covariant semi-tetrad approach to describe a general
static and spherically symmetric relativistic stellar object which contains two
fluids with anisotropic pressure. The corresponding Tolman-Oppenheimer-Volkoff
equations are then obtained in covariant form for the anisotropic case. These
equations are used to obtain new exact solutions using direct resolution and
reconstruction techniques. Finally, we show that three of the generating
theorems known for the single fluid case can also be used to obtain two-fluid
solutions from single fluid ones.
