The universe evolution and modified gravity: an overview
The review of modified gravity is made. Special attention is paid to F(R) gravity where realistic model which predicts the unification of early-time inflation with late-time acceleration is presented in detail. Other realistic ghost-free modified gravities are discussed: F(R) gravity with scalar field (via Lagrange multiplier constraint) and modified Gauss-Bonnet gravity. Special attention is paid to reconstruction of inflationary universe. The account of QG effects in frames of such models is made.