you and your sister have equal share in the 50% share of your deceased mother in the flat
your sister already holds 50% share in the flat in her name
so your sister's total share in the flat is 50% + 25% = 75%
you already hold 25% share in this flat from the 50% share of your mother
so your sister can transfer her 75% share in the flat to you by a gift deed
there wont be any issue in transfer of your sister's 50% share in the flat to you
there may be issue in transfer of 25% share of your sister which she inherited from your mother
a gift deed has to be registered. And so the registrar may ask you to provide a letters of administration for transfer of 25% share of your sister to you
i suggest you get the gift deed drafted and give the document to a registration clerk to show it to the sub-registrar
if he is not insisting for a LA then well and good. You can proceed for the registration
if not, then your sister can only transfer her 50% and for balance 25% she will need a letter of administration
even otherwise for the 25% share which you have inherited from your mother, you will need a registered transfer document which can be obtained only by applying for LA