The field of engineering is witnessing an increasing number of applications for intelligent electromagnetic nano-coatings. These recent advancements serve as the impetus for an investigation into a theoretical and computational study of an unsteady electro-magneto-hydrodynamic (EMHD) incompressible two-dimensional tangent hyperbolic non-Newtonian ternary hybrid nanofluid boundary layer coating flow external to a two-dimensional porous wedge geometry adjacent to a Darcy-Forchheimer porous medium. Both aligned electrical and transverse magnetic field effects are included. The effects of zeta-potential and surface injection/suction are included. The ternary composite nanofluid comprises three nanoparticles ( A l 2 O 3 , T i O 2 and S i O 2 ) with aqueous base fluid ( H 2 O ) The governing conservation partial differential equations for continuity and momentum and associated boundary conditions at the wedge surface and free stream are transformed with appropriate similarity variables. The emerging ordinary differential nonlinear boundary value problem is numerically solved in MATLAB. Validation with earlier studies is included. A significant deceleration is induced in the flow of a ternary hybrid nanofluid with an increase in the electric field parameter. An increment in Falkner-Skan power-law constant (moving wedge angle parameter) boosts the local skin friction coefficient for both the ternary hybrid nanofluid (THNF) and unitary A l 2 O 3 nanofluid (UNF) cases. The flow is boosted with an increase in the power-law rheological characteristic, which ranges from shear-thinning n < 1 to shear-thickening n > 1.