An apparatus and method for flow management and CO2-recovery from a CO2 containing hydrocarbon flow stream, such as a post CO2-stimulation flowback stream. The apparatus including a flow control zone, a gas separation zone, a pretreatment zone, and a CO2-capture zone. The CO2-capture zone is in fluid communication with the pretreatment zone to provide CO2-capture from a pretreated flowback gas stream and output a captured CO2-flow stream. The CO2-capture zone includes a flow splitter to direct a first portion of the pretreated flowback gas stream to a CO2-enricher to provide an enriched CO2-stream for mixing with a second portion of the pretreated flowback gas to form a mixed stream. The CO2-capture zone further includes at least one condenser to output the captured CO2-flow stream.