Although CyanogenMod Cyanogen OS and share the same name, in fact, they are two different ROM. The main distinguishing factor is that CyanogenMod custom firmware is open source, developed by the community of enthusiasts, while Cyanogen OS is developed and maintained by a private company.
Cyanogen OS also have exclusive applications that are pre-installed on smart phones Yu-Yureka or OnePlus, which are designed to improve the user experience on these devices.
However, Cyanogen announced that they will reduce the gap between the OS and Cyanogen CyanogenMod in terms of a set of standard applications.
To CyanogenMod anyone could install them on your device. Now these applications include Audio FX, Theme Chooser, Theme Store, Gallery, Email by Boxer, as well as with Dialer TrueCaller, and Cyanogen promise that more applications will be added in future updates.
With-Apps also allow users to create an account, which provides access to the store and the functionality TrueCaller, and also provides the ability to remotely locate, lock, and delete the data.