Looking to the materialization power, i noticed it's a sustained power, does it mean the spirit as a dice pool modifier while he is materialized ?
It is a sustained power not a sustained spell. SR4A, p293, "
Sustained powers may be maintained over time at no effort or cost."
Dropping out of what the rules are clear and fast on and in the range of opinion:
My take on the Astral Form issue is a tough one and I've been thinking lately about this very issue.
As it's written I can only imagine that if you are endowed astral form you're ripped into the Astral and have no body (however the power has no indication about the status of the spirit on its home plane while it is astrally visiting our plane).
That's got all sorts of scary consequences that give me heartburn. Two quick examples of why includes: True astral travel taking your body with you, and being able to force a target into the astral to have your magical way with them.
Neither feels like a good thing to allow in a game. You could say that it leaves a body just like projection, since there is nothing to say what a spirit has laying on the ground in its home plane as I mentioned, that solves some of the first but not the second. And you could require endowment to have a willing target, though nothing in the rules seems to support that.
My solution is that Astral Form feels more like a weakness than a power. It sets limits rather than granting power to a spirit. I would advocate for an errata converting Astral Form into a weakness for every spirit, and solve this problem. In games I play I'd call that a house rule and move forward. If I were running an official demo as an agent I would not bring any premade characters with invoking to avoid the problem while acting in an official capacity.