Praise be to Allah

Firstly: 

There is no contradiction between these fatwas, praise be to Allah. What is referred to in the first fatwa is alcohol that is mixed with other things, whereby the alcohol is fully absorbed into the mixture and no trace of it is left. In that case, it is permissible to eat and drink that in which it has been fully absorbed. 

As for the other fatwas, they are speaking of cooking food with alcohol. In that case the essence of the alcohol is still present and has not been fully absorbed into the food with which it is mixed, and its effect on the food remains apparent. In that case it is haraam to eat the food even if the amount of alcohol that is present is very little and drinking it would not cause intoxication, because “that which intoxicates in large amounts, a small amount of it is haraam.” 

To sum up the issue, with regard to foods and drinks that are mixed with alcohol, there are two scenarios: 

The first is where the alcohol is fully absorbed into the food or drink and has disappeared in it, in such a way that its essence is no longer present and no trace of it can be detected in the drink (or food) in terms of colour, taste or odour. There is nothing wrong with eating or drinking such things at all. 

Shaykh al-Islam [Ibn Taymiyah] (may Allah have mercy on him) said:

If alcohol falls into water and is completely absorbed in it, then someone drinks it, he is not regarded as drinking alcohol and the hadd punishment for drinking alcohol is not to be carried out on him, because nothing of its taste, colour or odour remained. 

End quote from al-Mustadrak ‘ala Majmoo‘ al-Fataawa (3/12). 

The second scenario is where the essence of the alcohol remains present or its traces may be detected in the mixture, in terms of taste, colour, odour or flavour. In this case it is haraam to consume this food or drink, because of the presence in its ingredients of a percentage of alcohol that has not been fully absorbed. 

The presence of alcohol in this food or drink makes it prohibited, even if the percentage of alcohol is very small. 

Shaykh Muhammad ibn Saalih al-‘Uthaymeen said: If this alcohol is mixed with something and is not fully absorbed into what it is mixed with, and does not disappear into it, then that thing becomes haraam, because this mixture is affected by it. 

But if the alcohol has been fully absorbed into what it has been mixed with, and no trace of it can be detected, then it does not become haraam thereby. 

End quote from Fataawa Noor ‘ala ad-Darb

Secondly: 

Even though we say that it is permissible to eat and drink things that are mixed with alcohol if the alcohol is fully absorbed, this does not mean that it is permissible to mix things with alcohol. 

So it is not permissible to put any nabeedh (fermented drink made from dates), alcohol or any other intoxicating substance into drinks, foods or anything else, because every intoxicant is khamr, as the Prophet (blessings and peace of Allah be upon him) said: “Every intoxicant is khamr and every khamr is haraam.” Narrated by Muslim (2003)                     

What some people claim of there being some medicinal benefits in alcohol does not justify adding it to food and drink or anything else, because Allah has commanded us to avoid khamr completely, as He says (interpretation of the meaning):

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

[al-Maa’idah 5:90]. 

Al-Qurtubi said:

The words “So avoid (strictly all) that (abomination)” imply complete avoidance, so that it cannot be used in any way whatsoever, whether it is drinking, selling, turning it into vinegar, using it for medicinal purposes, etc. 

End quote from al-Jaami‘ li Ahkaam al-Qur’an (6/289) 

It says in Fataawa al-Lajnah ad-Daa’imah (22/124):

It is not permissible to put anything that causes intoxication into anything that is intended to be used as medicine, food or drink, or anything from which food, drink or condiments are to be extracted, whether that intoxicant is nabeedh, beer or anything else.

End quote. 

And Allah knows best.