This paper presents the Changhee–Frobenius–Euler and Genocchi polynomials and analyzes their varied properties by looking at many relations and applications. Our study begins by establishing diverse relationships and formulas, encompassing addition formulas, recurrence rules, implicit summation formulas, and connections with previously studied polynomials in the published work. By leveraging their generating function, we derive novel relationships, including those involving the Stirling numbers of the first and second kinds. Additionally, we unveil new identities and properties associated with this class of polynomials.