A process for producing hot briquetted iron with increased solid carbonaceous material and/or flux includes: providing a shaft furnace of a direct reduction plant to reduce iron oxide with reducing gas; providing a hot briquette machine to produce hot briquetted iron; coupling a chute between a) a discharge exit of the shaft furnace for discharge of hot direct reduced iron and b) an entrance of the hot briquette machine; adding solid carbonaceous material and/or flux to the discharged hot direct reduced iron from the shaft furnace to produce a mixture of the discharged hot direct reduced iron and the solid carbonaceous material and/or flux before feeding to the hot briquette machine; and processing in the hot briquette machine to produce a product of hot briquetted iron with increased solid carbonaceous material content greater than about 3 weight percent and/or an increased flux content.