Step 1: Classify ligands as strong or weak field.
CN\(^-\) is a strong-field ligand -- causes low spin and uses inner d orbitals. F\(^-\) is a weak-field ligand -- causes high spin and uses outer d orbitals.
Step 2: Assign hybridisation.
[Mn(CN)\(_6\)]\(^{3-}\): low spin, inner orbital complex -- d\(^2\)sp\(^3\) (octahedral). [CoF\(_6\)]\(^{3-}\): high spin, outer orbital complex -- sp\(^3\)d\(^2\) (octahedral).
\[ \boxed{d^2sp^3,\ sp^3d^2} \]