A comprehensive analysis of the surface potential, threshold voltage, and subthreshold swing (SS) for dual-metal gate graded channel and dual oxide thickness with two different dielectric constants cylindrical gate (DMG-GC-DOTTDCD) metal-oxide-semiconductor field-effect transistors (MOSFETs) is proposed to investigate short-channel effects (SCEs). An analytical model for drain current is developed employing a quasi-two-dimensional cylindrical form of the Poisson equation and is expressed as a function of the surface potential, which is determined using the current density expressions. The DMG-GC-DOTTDCD device is compared with DMG-GC-DOT, revealing that our structure provides superior immunity against short-channel effects (incorporated in the drain current model). The analytically obtained results align with those achieved through the Silvaco Atlas-TCAD software.