2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199383We consider modified $f(R)$ gravity which may unify $R^m$ early-time inflation with late-time $Λ$CDM epoch. It is shown that such model passes the local tests (Newton law, stability of Earth-like gravitational solution, very heavy mass for additional scalar degree of freedom) and suggests the realistic alternative for General Relativity. Various scenarios for future evolution of $f(R)$ $Λ$CDM era are discussed.LaTeX 10 pages, version to appear in PRDHigh Energy Physics - TheoryAstrophysicsGeneral Relativity and Quantum Cosmologytext