This is the 11197th most frequent Polish word.
grillowanego
"Grillowanego" means "grilled" in English.
The word 'grillowanego' is used here as an adjective describing 'chicken', indicating the method of preparation—grilled.
Zjedliśmy na obiad kurczaka grillowanego.
We ate grilled chicken for lunch.
Here, 'grillowanego' modifies 'wina', which is slightly more abstract, suggesting wine that was subjected to some grilling process.
Czy próbowałeś krewetki grillowanego wina?
Have you tried shrimp marinated in grilled wine?
In this case, 'grillowanego' describes the meat, indicating that it was prepared by grilling.