It seems that senden, schicken, and verschicken all mean "to send" in some way. Senden is a little easier to distinguish since schicken and verschicken both share the definition "to dispatch," but what really is the proper use case for these words? For example, when uploading a photo to Instagram, my phone says "Wird gesendet." However, I would suspect that "to dispatch" might be a little more appropriate than "to send" in this case. So why not schicken or verschicken?
To me, "senden" has a duration, in particular when talking about radio or Internet, but also to some extent when talking about letters (meaning that it takes a while until they reach you).
"Schicken" (and "verschicken") on the other hand gives more the impression of a one-time action, like posting a letter into a mailbox.
But the lines are quite blurry between the two and often they are interchangeable ("wird verschickt" in your example sounds perfectly fine to me), while in some instances their use is idiomatic.