No packaging should be assumed suitable because it is labelled compostable or biodegradable. Those terms do not establish that it can pass safely through a domestic grinding chamber and drainage system.
What the observation tells you
Separate food from bags, liners, labels, ties and wrapping before approaching the sink. Flexible packaging can be difficult to see among wet scraps, and its behaviour in water is not the same as food breaking down under the approved operating conditions.
A useful next step
Use the disposal route stated on the packaging and by the local collection service. If wrapping entered the unit, stop and seek model-specific advice rather than feeding more food behind it.
Manuals and supporting guidance
Model-specific instructions take priority. These references support the practical principles discussed here; they do not diagnose your appliance.