The composite continuous countercurrent fluidized moving bed (FMB) and/or expanded moving bed (EMB) for carrying out processes such as recovery, purification or reaction of single or multiple component/s of interest, by contacting liquid phase containing the said component/s with the solid adsorbent in continuous countercurrent mode. In this composite fluidized moving bed and/or expanded moving bed system the net movement of the solids is against the liquid flowing in upward direction through the stages/columns, and sedimenting solids from the one stage/column are continuously fed to the top of the another stage/column placed below or alongside of previous stage/column, and also operating in fluidized/expanded bed mode, wherein its countercurrent contact with up flowing liquid is carried out. The system described herein consists of number of stages/column as per requirement of the process. The sedimenting adsorbent solids from the last fluidized bed or expanded bed stage/column are taken out continuously and fed back to the top of the first stage/column, through a feed hopper to which the adsorbent solids are transported by means of pump or liquid solid ejector, or any other suitable device. The feed hopper is suitably designed and operated, so as deliver solid adsorbents to the top of the first stage/column continuously in a controlled manner. The flow of solid adsorbent through the said solid downcomer tube/s is controlled using valves appropriate to afford control over the downward adsorbent flow. The FMB/EMB system can be used in processes for continuous recovery, purifications or reactions of various products.