That's what character creations says. It's not in 5e lore, though. Larian made it up.
This is Larian's campaign, and if the DM says X, then X.
There's also a post directly above yours with multiple examples of Lolth-worshipping drow who weren't marked with red eyes. with pictures, if that would help.
I remember 2nd edition tieflings. Vs 5th edition... things can and do change quite significantly. If WoTC are okay with Larian making drow from Lloth red eyed, then that's how it is.
