Below is what our roofing expert Marty Stout from
Go Roof Tune Up had to say in response to your question:
It seems like these are two unrelated events.
The Kitchen Soffit is part of the living space of your house requiring insulation. The "Outside Side" Soffit is on the overhang of the roof and not in the living space so not part of the Kitchen. Not knowing what the outside soffit is made of I will guess some type of sheet metal material. It is not uncommon for this soffit material to fall off.