This is really, really important; I really, really mean it

“This bi-monthly resource has become increasingly more important.”

No. It has become “increasingly important,” or it has become “more important,” but nothing in the entire English language is important enough to become increasingly more important. (Even this blog, life-changing though it may be for you, will never become “increasingly more” important.)

“Increasingly more” is right up there with “equally as.”

“You are equally as egocentric as Doug.”

Nobody is so egocentric as to be both “equally egocentric” to and “as egocentric” as Doug. There is only so much obnoxiousness available in the world.