Depending on the nuances you want, there's a number of more and less elegant variations on that second sentence, e.g. "Making the internet work, from behind the scenes" or "They work behind the scenes, keeping the internet running".
The current form can be read a few ways, such as "they are responsible for the behind-the-scenes parts of the internet". It's clear to me what you mean, but you probably want to find a form that's as hard to misunderstand as possible. (It can even make sense as "They make the internet run away to behind the scenes", but it'd take an odd sort of person to think that was what you meant.)
I very-much appreciate the knowledge that you have about FreeBSD!