The intricate coupling among multiple degrees of freedom in correlated oxides gives rise to exotic quantum states and rich functional properties distinct from those of conventional semiconductors, thereby promoting the development of novel magnetoelectric electronic devices. Establishing the intrinsic correlations across scales, among real-space charge order, spin magnetic order, momentum-space band structure, atomic-scale lattice configuration, and macroscopic physical properties, provides a viable physical foundation and research pathway for precisely tailoring the magnetoelectric transport properties of correlated oxides. This review systematically summarizes the recent advances in the design and manipulation of electrical transport and magnetic properties in correlated oxides. It focuses on tuning strategies governed by band-filling and bandwidth control, and elucidates the critical role of emerging approaches such as nonequilibrium state manipulation in the exploration and creation of exotic quantum states. This review aims to expand the design paradigms and tunability of magnetoelectric transport in correlated oxide system, fostering rich magnetoelectric states and device applications within correlated oxide family.