You didn't say what year your Eos is so I will give you the info I have concerning my 07 with the BPY engine. It was used in the 07-08 US Eos. When my check engine light went on, my VW dealer did the following repairs-
One time it was ths PCV valve and Manifold Runner Control Motor. This covers 07-08 models and has a service bulletin and warranty extension to cover the repair.
Another time was the Intake Camshaft Follower and High Pressure Fuel Pump. There should be a service bulletin for that also. Might be why they think you need injectors.
One time was for a fuel pressure sensor.
Another time was for a faulty oxygen sensor and a connector.
Tthe first two items have had the warranty extended to 10 years or 120k miles. There was some issue with the spark coils that were covered by a recall. I am happy to report that the light has stayed out for 2 years. Hope the info helps.