“Proceedings” is another way of saying “process,“… So the sentence you gave sounds like it comes from an article about a film production that got into legal trouble, and then was ordered by the court to pay for the legal costs of the case. (Typically this means they lost and have to pay not only their own expenses, but the expenses of the other party that they lost to.)
To explain a bit further, I’ll make up an example. That sentence might show up in a story about how a film production is shooting a movie on a city street, and one of the production vehicles accidentally hits a parked car and the film production company refuses to pay for the damages.
The owner of the car takes them to court. The film production company (“the film”) loses the court case and the judge says that not only do they have to pay for the damages to the car, but they also have to pay for the cost of all legal proceedings. This means they will need to pay the car owner money to repair car as well as for all expenses the owner incurred in defending themselves in court (think: lawyer fees).