According to
their site:
We receive the Thirty-Nine Articles of Religion of 1571, taken in their literal and grammatical sense, as expressing the Anglican response to certain doctrinal issues controverted at that time, and as expressing the fundamental principles of authentic Anglican belief.
This is consistent with the Declaration which proceeds the 39 Articles in the
CoE BCP where it says the church is to interpret the articles in the following manner:
And that no man hereafter shall either print, or preach, to draw the Article aside any way, but shall submit to it in the plain and full meaning thereof: and shall not put his own sense or comment to be the meaning of the Article, but shall take it in the literal and grammatical sense.
So, if the ACAN is consistent with their own claims and adhere to the 39 Articles in their literal and grammatical sense in the spirit of the CoE BCP, then in order to be consistent with their claims, they should hold to a
moderate reformed view of salvation and the
reformed view of the Eucharist. Thus, according to the reformed view (which Cranmer held), no we're not justified by taking communion (nor by baptism), but
by the atoning work of Jesus Christ which we receive by grace through faith alone. We are, however, called as daughters and sons of God to keep His commandments if we love Him, and thus, will, unless we are physically are unable to, participate in His sacraments as a part of our sanctification and as an expression of a faithful child who obediently heeds our Father's commands. I.e. we're not saved by the sacraments, but if we're saved, we will partake of them
because we love Jesus. Or to put it another way, we work because we're saved, not in order to be saved.
But like all things Anglican, your local mileage will surely vary, and so I don't think there's a definitive answer to your question. I would, however, say that the ACNA is not being consistent with their own claims and that they're probably doing so for the sake of unity at this time until they can decide on other things (like woman priests). Is that a good thing is another question which I'm not jumping into....
Anyways, hope this helps.