Abstract: A turbo-compound apparatus having a variable geometry turbocharger turbine and an engine system having the same are provided. The turbo-compound apparatus includes a variable geometry turbocharger turbine connected to an exhaust manifold of the engine and having an adjustable mechanism to distribute the exhaust energy between two turbines; a power turbine fitted downstream of the variable geometry turbocharger turbine and driven by exhaust gas passing through the variable geometry turbocharger turbine, an output end of the power turbine being adapted to connect with a crankshaft of the engine to transfer mechanical work output from the power turbine to the crankshaft; and an actuator configured to control the adjustable mechanism according to actual engine operation conditions to regulate the exhaust energy distribution between the variable geometry turbocharger turbine and the power turbine.