Cash Management keeps the balance of each store's safe per currency, books every cash movement in and out of it, checks the safe in a daily safe audit, and publishes every movement so that an ERP or accounting system can follow the store's cash.
How Reconciliation turns the tills' transactions into the amount each cash drawer should hold: which transactions count, with what sign, and which are ignored.
Reconciliation keeps a running total of the cash every till drawer should hold, checks the count that store staff make against the deviation you allow, and closes each store's day with a summary that your own systems can receive.