That paper has 2 tables (table 2 and table 6) listing VID:PID (vendor id and product id) for devices known to use the chips they examined. You can find the VID and PID of a usb device on Linux using
lsusb, other systems may have other methods to obtain VID and PID.
However, it's possible that your device uses one of the chips listed in table 1 without being listed in table 2 or 6, as the authors could have been unaware of it or it could have been released after the paper was written.
Even if your device doesn't use one of the chips examined in that paper, given the track record I wouldn't rely on it for anything sensitive. In general software solutions for disk encryption have an advantage here as they're generally more widely audited and they don't have to be tested for each and every hard drive model.