Hello,
could you please specify what family of MCUs are you targeting? Generally the Eclipse version of CodeWarrior provides the same set of components as CodeWarrior Classic, so you should be able to use the LCD component (formerly called bean) in the same way as in the Classic version.
In case you have some CodeWarriopr Classic project you can use "Classic Importer feature" from eclipse version of CW to import such project or use steps from this https://community.freescale.com/message/91224#91224
Could you please also specify what compatibility issue do you mean exactly, because I see any LCD component under your link.
Note: The LCD component is from category advanced and you need to have purchased "Professional Suite" to use it or you can buy it separately in PE´s component store.
For FSL licensing policy please see this link
best regards
Vojtech Filip
Processor Expert Support Team