Yeah, it's really weird due to the prominence of evangelize and its derivatives, which is a derivative of the word evangel like evangelation is. As far as I can tell, it is a word though I can't find it in an online dictionary (I can find it being used however and I would swear to hearing it during Mass).
Basically, it goes like this.
Evangel is the "good news" (aka the Gospel). An evangelist spreads the "good news". If they happen to convert others to the "good news", they evangelize them. The process in which an evangelist envangelizes someone is referred to as evangelization. Finally, the act of spreading the "good news" by an evangelist is called evangelation.
For an example, an Evangelation Center would be focused on spreading the "good news" while an Evangelization Center would be focused on converting people to the "good news".
You never really hear about it as it's (correctly) assumed to happen during evangelization. Furthermore, the "good news" doesn't really need spread in today's society, though Evangelization is a primary concern in the Church.
Finally, the "good news" can be thought of as spiritual sustenance (with how it's preached to save your soul and all that jazz) and from what we know, the Lightweavers provide spiritual sustenance. If you replace the "good news" with spiritual substance, evangelize and evangelization don't make sense (converting someone to spiritual sustenance doesn't exactly work) while a Lightweaver can be thought of as an evangelist and one of the Lightweaver Order's purpones would be providing evangelation.
TL;DR: It's the right word, just really weird to read as it's never really typed out. I tried so hard to fit evangelization in instead due to this, but there's too much spacing between the "l" and "t" to work for the shown word.
P.S. Is evangel(-) even real anymore?