We present results for the inner-shell electron-impact excitation of all Na-like ions from Mg⁺ to Kr²⁵⁺ obtained using the intermediate-coupling frame transformation R-matrix method with both Auger and radiation damping included via the optical potential approach. For each ion, the target and close-coupling expansions are taken to be the 59 LS terms (134 levels) belonging to configurations 2s²2p⁶3l, 2s²2p⁵3s3l (l s, p, d), 2s²2p⁵3p² and 2s²2p⁵3p3d. Radial wavefunctions were obtained using autostructure. Effective collision strengths are presented at temperatures ranging from 2 × 10²(q + 1)² K to 2 × 10⁶(q + 1)² K (where q is the residual charge of ions, i.e. Z − 11). Comparisons for the collision strengths and effective collision strengths are made with the results of other calculations for several ions which span the sequence. The Auger and radiation damping effects along the sequence have also been explored and their importance is highlighted. We further examine iso-electronic trends of both low- and high-temperature effective collision strengths.