  We study some aspects of spherical symmetric dyonic non-supersymmetric black
holes in $4d \; N=1$ supergravity coupled to chiral and vector multiplets on
K\"ahler-Ricci solitons. Then, we have a family of dyonic non-supersymmetric
black holes deformed with respect to the flow parameter related to the
K\"ahler-Ricci soliton, which possibly controls the nature of black holes, such
as their asymptotic and near horizon geometries. Two types of black holes are
discussed, namely a family of dyonic Reissner-Nordstr\"om-like black holes and
Bertotti-Robinson-like black holes where the scalars are freezing all over
spacetime and at the horizon, respectively. In addition, the corresponding
vacuum structures for such black holes are also studied in the context of
Morse-(Bott) theory. Finally, we give some simple $\;{\lC \mathrm{P}}^n$-models
whose superpotential and gauge couplings have a linear form.
