My father, on `Eid-ul-Adha (the Festival of the Sacrifice), gives me one of his sheep as Ud-hiyah (sacrificial animal offered by non-pilgrims).
I must say that I am financially independent from my father. Please provide me with an answer on this issue.
There is nothing wrong with accepting the gift of your father who gives you one of his sheep to offer as a sacrifice on behalf of you and your family. By accepting his gift, you will please your father even if you are in no need of it; and the sacrifice will count as sufficient on behalf of you and your family. Yet, your father should give your siblings the same as he gives you, if you have any; unless they, being of legal age, accept that. This is in compliance with the command of the Prophet (peace be upon him):
Fear Allah and treat your children fairly.
May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.