We investigate the evolution of $\mathrm{Ca}\phantom{\rule{0.2em}{0ex}}2p$ and $\mathrm{Sr}\phantom{\rule{0.2em}{0ex}}3d$ core level spectra in ${\mathrm{Ca}}_{1\ensuremath{-}x}{\mathrm{Sr}}_{x}\mathrm{Ru}{\mathrm{O}}_{3}$ using photoemission spectroscopy. Core level spectra in this system exhibit multiple features and unusual evolution with the composition and temperatures. Analysis of the core level spectra in conjunction with the band structure results indicates final state effects due to different core hole screening channels. Such screening in the photoemission final states can be attributed to the large $A\text{\ensuremath{-}}\mathrm{O}$ covalency in these systems. Changes in the core level spectra with temperature and composition suggest significant modification in $A\text{\ensuremath{-}}\mathrm{O}$ $(A=\mathrm{Ca}∕\mathrm{Sr})$ covalency in Ca-dominated samples, which gradually reduces with the increase in Sr content and becomes insignificant in $\mathrm{Sr}\mathrm{Ru}{\mathrm{O}}_{3}$. This study thus provides a direct evidence of cation-oxygen covalency and its evolution with temperature, which may be useful in understanding the unusual ground state properties of these materials.