When selling an item in POS should the inventory update be reflected in QB enterprise item count?

We've identified that the point-of-sale (POS) system is the primary means of recording inventory entries for ordered items. However, we've encountered an issue where inventory for items received through the POS system is not showing up in our QuickBooks Enterprise (QB Enterprise) account after using the "financial center" feature to update it. We're unsure if we're making an error or if there's a particular inventory setting we need to adjust for it to function properly.

Our business has two distinct parts: a front showroom that utilizes the POS system for off-the-shelf items sold to the general public, and a service department that generates invoices for specialized repair work using QB Enterprise. While the service department draws from the same inventory as the showroom, it bills through QB Enterprise. At present, inventory counts do not appear to be transferring over to QB Enterprise, causing some confusion. We would greatly appreciate any assistance with resolving this issue.