Saw a post on Facebook that I think is full of shit, how would I research for myself to prove it wrong?

Here's the post in question

http://www.onegreenplanet.org/vegan-food/10-reasons-to-ditch-dairy/

It feels very.... let's say "chemtrail like" to me.

I'm mostly interested in how I can look up this kind of information for myself.

Peer reviewed articles and so on.

I noticed in that article I linked, any link in each category just links back to the same website. Which feels super dodgey to me.

So my point is, I'm not so much looking to disprove this article itself but more so how to go about confirming or denying articles with actual evidence or proof.