Slaughtering the sacrifice is better than giving its price in charity

My brother and I each have a house and on Eid in sha Allaah we want to
slaughter one ram and give the other in charity without actually
slaughtering it. Do we have to slaughter the two rams or not?.
Praise be to Allaah.
What is prescribed in your case is for you to slaughter the two
sacrifices. It is not acceptable for you to share in one sacrifice,
because you stated that you live separately from your brother. We have
listed the conditions for sharing sacrifices in the answer to question
no. 96741 .
There we mentioned thedifference of scholarly opinion concerning the
ruling on sacrifices, and stated that it is a confirmed Sunnah (Sunnah
mu'akkadah) according to the majority and it is obligatory according
to a few fuqaha'.
The scholars stated that slaughtering the sacrifice is better than
giving its price in charity. Based on that, you can offer the
sacrifice and give the meat in charity, or you can delegate someone to
sacrifice it on your behalf in countries or regions where there is a
great deal of need.
It says in Mataalib Ooli al-Nuha (2/473): Slaughtering the sacrifice
or the 'aqeeqahis better than giving its price in charity. This
wasstated by Imam Ahmad (may Allaah have mercy on him). The same
applies to the hadiy (sacrifice offered during Hajj). The Prophet
(peace and blessings of Allaah be upon him) slaughtered his sacrifice
and hadiy, as did the caliphs who came after him. If giving the price
in charity was better they would not have failed to do that. End
quote.
And Allaah knows best.