You're flat out wrong in your premise that it's a tax dodge, and it's very easy to demonstrate. Neither of those links support a claim about tax evasion in any regard.
There's no special tax benefit to what they set up. There are only structural benefits, in that the LLC can give to political campaigns and make private investments (neither of which are tax deductible). It also enables Zuckerberg to continue to directly control the Facebook stock while it's held by the LLC.
Any shares sold by the LLC generates a tax event as it would with an individual. You know the best way to avoid taxes like that? To keep the stock to yourself and not sell it at all.
The only tax deductions the LLC can take are identical to what an individual can take, the money must have gone to a 501c charity to generate a tax deduction. Nothing is gained in regards to avoiding taxes.
The first link openly admits it doesn't benefit Zuckerberg to use it as a means of tax avoidance (much less tax evasion, which is a crime that you're claiming is being committed). He'd be just as well off to directly donate the stock to a charity instead, as the ideal example given lists the LLC doing exactly that instead.
Any potential tax deductions accrued are saturated instantly, as they're limited to a fraction of the LLC's income in a given year and the total value of the deductions expire after five years (ie any charitable tax deduction carries forward for a maximum of five years and may only deduct against a maximum of 50% of your income in a year). There's nothing special about this deduction with the LLC, an individual gets the same arrangement. Again, there's no special angle.
Gates for example once gave a very large single year donation to his foundation, back in 2000. He saw very little tax benefit, because it saturated his ability to deduct a hundred times over.
The second link - an angry personal blog post - has the title calling it a fake charity. The first paragraph opens by insulting Zuckerberg's marriage. The second paragraph opens by insulting the Zuckerbergs love of their daughter. You can throw that one out as being biased immediately.
This absolutely has to be Mark Zuckerberg. Nobody else could get this mad.
The dishonesty is in the description of the event by Zuckerberg and the media. It was covered as "Zuckerberg donates $45 billion to charity," but he effectively donated it to himself.
As an "I control everything anyway", tax evasion scheme.
https://www.nytimes.com/2015/12/04/business/dealbook/how-mar...
https://blogs.harvard.edu/philg/2015/12/03/is-the-new-zucker...