Why is not ‘ montrer votre reconnaissance à vos bien aimés’ an option?

Hi Ian,

Because 'reconnaissance' is gratitude rather than appreciation which was the term used in English.

The term bien aimé ( noun) sounds a bit preachy and literary to me. 

I would use it as an adjective but not as a noun.

 Please take a look at the following page with lots of useful examples -

https://www.larousse.fr/dictionnaires/francais/bien-aim%C3%A9/9154

Hope this helps!