There are still three more steps until an execution can actually be carried out.
First, the result of the appeal must end in the same verdict, which rarely happens in cases where the death sentence was dished out.
Second, an executive branch of the judiciary has to approve the felony court's decision to carry out the execution, which is usually a formality if the defendant's appeal fails.
Third, the case is put to the Grand Mufti of Alazhar for approval. Usually this is the point where the majority of cases that get the past two steps get dropped to a life sentence.
Just of note is that of the thousand plus death sentences dished out in Egypt in the past two years, only around fifteen have actually been carried out, many of which were for ABM terrorists. Btw of the thousand or so sentences hundreds were for people tried in absentia, the full punishment by law has to be dished out, awaiting an appeal by the absent party.
As for Mubarak he was reconvicted for corruption charges and is awaiting the court of cessations verdict on an appeal filed by the general prosecutor to put Mubarak back in the felony courts dock on charges related to the killing of protesters, charges that had before to a conviction and acquittal. Mubarak himself is unimportant, spending his days in a hospital, his sons however are a threat to both the current admistration and Egypt as a whole. They were also convicted on corruption charges with their father.