We　study　the　effects　of　dissipation　induced　blockade　on　the　dynamics　of　an　open　quantum　system　having　two　qubits　in　nonequilibrium　independent　baths.　The　qubits　are　driven　by　a　classical　field　with　a　temporally　modulated　detuning.　The　introduction　of　blockade　induced　via　two　effective　baths　together　with　the　effect　of　the　driving　field　enable　us　to　observe　maximal　entanglement　oscillation　of　about　unity　that　decays　with　a　quasi-steady　entanglement　state　oscillating　about　the　1/2　limit　with　adjustable　decay　rate.　When　the　temperature　difference　between　two　baths　is　not　large,　maximal　entanglement　oscillation　can　still　be　observed　in　the　model.　In　addition,　the　adjustment　of　the　nonequilibrium　thermal　baths　by　modulating　the　dissipation　and　the　application　of　time-dependent　detuning　give　rise　to　rich　entanglement　dynamics.　We　further　demonstrate　numerically　the　practical　implementation　of　the　proposed　scheme　with　a　universal　cavity　QED　setting.　(C)　2021　Optical　Society　of　America　under　the　terms　of　the　OSA　Open　Access　Publishing　Agreement