The variable here is the bridge plate, which is a thin "block" under the top under the bridge. Typically bridge plates are solid maple or rosewood. The idea is that the bridge plate stiffens the top to prevent a belly forming. But it must be light enough so that it does not impede vibration in the top.
What kind of block is in there now? Dollars to high caloric breakfast food it is plywood. Plywood bends. That's the opposite of stiff. Coupled to a plywood top, it's a prescription for disaster. Which has already happened.
Removing and replacing a bridge plate is a major pain in the arm. Literally, because the tech must get inside with heat and tools to loosen the glue and pry off the exiting bridge plate. The service would easily cost as much as the instrument. Installing a veneer reinforcement might work. But that's time consuming (read: expensive), too. Plus, the bridge and top have to be addressed.
Replacing the instrument is the best course of action. If the seller/vendor is unwilling to replace it, it is a good project instrument on which to learn acoustic repair.
Epoxy: Wood glue is the right adhesive. Hide glue would be better. Epoxy will work, but it is likely to make a bigger mess than already exists. If you can imagine that.
Screws: Can be used to locate. But screws will not hold a bridge onto a top. That's a job for glue.
Repair: As pointed out above, the top that is still glued onto the bottom of the bridge should be removed carefully and glued into place first. Then the bridge can be prepped and glued. Deep throat clamps are necessary to reach through the sound hole to access the bridge. Good fitting, non-marring cauls will need to be fabricated, too. All of this assumes that there is no finish on the top that is glued to the bridge. All finish must be removed before glue and clamps are applied.
This advice is merely an overview of the work to be done. If you do not possess the tools it will get expensive in a hurry. In addition, this is a job for the seriously handy who have a good understanding of woodworking.