Using wine to cook haraam meat

The fact that alcohol is
forbidden in Islam is a well established fact and no Muslim has any excuse
for not knowing it. It is one of the major sins that doom a person to Hell.
This prohibition is mentioned in the Holy Book, where Allaah, may He be
glorified and exalted, says (interpretation of the meaning): 

“O you who believe!
Intoxicants (all kinds of alcoholic drinks), and gambling, and Al‑Ansaab
(stone altars for sacrifices to idols etc), and Al‑Azlaam (arrows for
seeking luck or decision) are an abomination of Shaytaan’s (Satan’s)
handiwork. So avoid (strictly all) that (abomination) in order that you may
be successful”

[al-Maa’idah 5:90]

This prohibition is general
and applies to all manners of using alcohol, whether in food or in drink. It
is not permissible to use it in food or drink in any way whatsoever. 

It says in al-Mawsoo’ah
al-Fqhiyyah (25/95): 

The one who cooks meat with
alcohol and consumes the juice is to be subjected to the hadd punishment,
because the essence of the alcohol is still present. The same applies to
making dough with it and eating it. This was stated by the Shaafa’is and
Hanbalis. End quote. 

Al-Sarkhasi said in
al-Mabsoot (24/25), which is a Hanafi book: 

If he makes dough with
flour and alcohol, then bakes it, it is makrooh (i.e., haraam) to eat it,
because the flour becomes impure from the alcohol and the impure dough
cannot be purified by baking, so it is not permissible to eat it. end
quote. 

He also said (24/32): 

If he puts alcohol in the
sauce then cooks it, it is not permissible to eat it. This action is not
permissible because it is using alcohol like vinegar, and we have explained
that this is not allowed. End quote. 

This is very similar to
what is mentioned in the question, that alcohol is being used like vinegar. 

So it is not permissible to
marinade meat in alcohol or to soak it in it, and it is not permissible to
cook with it at all. In that which is permissible there is sufficient and we
have no need of that which is forbidden. The Muslim is enjoined to avoid
alcohol completely, so we should boycott restaurants that use alcohol as an
ingredient in their food and in preparing and cooking food, rather we should
advise them and exhort them and warn people against them. 

And Allaah knows best.