I don't think the Logos should be understood as Reason or Logic in ordinary terms of understanding, nor as the opposite of what is considered irrational. It is neither rational nor irrational, but non-rational in nature, and therefore, transcendent of duality. This is why I say it is Light, which allows insight, rather than conceptualized thought that is part of ordinary Reason or Logic. Logos is not a doctrine, but being itself, of a higher order. 'Before Abraham was, I Am'
The original meaning of Logos had to do with the order of the universe and rationality (Heraclitus), but when we look at the universe itself, we do see order, but it is not a deliberately-contrived kind of order. Looking up into the night sky, we see a panoply of stars in perfect order, but one that is neither deliberate nor accidental; everything is just right. But we also see a multitude of stars the presence of which lack any particular function, in terms of what ordinary logic or reason would dictate. On our own planet, there is an explosion of form, variety, and color, again, without rhyme or reason, and yet, all in balance and harmony.* So yes, there is a Logos behind it all, but not that of ordinary rational thought. I think it would be difficult to imagine a universe that was logically and rationally conceived. This view is the Christian theological view, in which God is an artisan, a 'maker', and the world, including man, is an artifact, a created 'thing', lacking consciousness of its own, other than that which is bestowed upon it by its maker, but which, nonetheless, has a purpose, and whatever remains mysterious is best left to God's 'reasoning'.
In the Hindu cosmological view, the universe is a play (lila) of the Absolute, manifested as illusion (maya) having no purpose other than that of sheer delight.
*However, we are just beginning to appreciate the function diversity plays in the planet's ecology.