It's not fair to them being eaten. vs It's not fair for them to be eaten.

[Carvalho]

Can you tell me which sentence is correct?

It's not fair to them being eaten.
or:
It's not fair for them to be eaten.

And also: It's a way to people get more healthy.
or:
It's a way of people getting healthier.

Just to clarify , here we are talking about eating meat. :) Thanks!

[Mister Micawber]

Meat is uncountable, so I presume that you mean 'animals'.

It's not fair for/to them to be eaten.
It's a way for people to get healthier.
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Native English teacher at Mister Micawber's

[Carvalho]

I've read all your explanations, thanks!