An exhaust control apparatus for an engine is provided. The apparatus includes a turbocharger, a high-pressure exhaust gas recirculation (EGR) device, a low-pressure EGR device, and a flap controller. The turbocharger includes a turbine, a compressor, and movable flaps, and rotates the turbine by exhaust gas to drive the compressor so as to boost intake air. The high-pressure EGR device recirculates, within a first engine operating range, the exhaust gas from a position of an exhaust passage upstream of the turbine to a position of an intake passage downstream of the compressor. The low-pressure EGR device recirculates, within a second engine operating range, the exhaust gas from a position of the exhaust passage downstream of the turbine to a position of the intake passage upstream of the compressor. The flap controller controls flap openings.