  In the present research, we embark on a comprehensive inquiry into K-Riesz
bases and K-g Riesz bases as they manifest within pro-C*-Hilbert modules.
Adopting a unique approach, we interpret the structure of K-Riesz bases through
the lens of a bounded below operator, complemented by the prototypical
orthonormal basis of the Hilbert module X. In parallel, our investigation
elucidates nuanced traits and pioneering perspectives of K-g-Riesz bases,
steered by a bounded surjective operator and a corresponding g-orthonormal
basis for X. As a culmination of our efforts, we present an enriched
understanding of the dynamic interactions between K-Riesz bases and K-g-Riesz
bases in this mathematical context.
