حكمًا بمثابة الوجاهي بحق المدعيتين قابلاً للاستئناف منهما غيابيًا بحق المدعى عليهما قابلاً للاعتراض وللاستئناف منهما صدر وأفهم علنًا في بيروت = a judgment in the presence of the two plaintiffs that is subject to an absentia appeal by them against the two defendants who may object and may appeal. Issued and read publicly in Beirut.

It appears there are two plaintiffs and two defendants. The judgment is in favor of the two plaintiffs where were present. The defendents may appeal whether in the presence or absence of the two defendats who also have the right of objection or appeal.

I hope my understanding of the context sentence renders the whole sentence a bit clear.