Besides, look at the tip of her nose in 2nd pic... those needles are nowhere near her eyes. It's likely those are stabilizing rods to hold the fractured bits of her skull in place so that they set correctly.
I don’t know, IV looking syringes aren’t normally used to fix bones, and as I said in the image-context thread it would seem from the entryplug’s damage that Yui’s teeth didn’t actually touch her, and most of the physical injuries would have been from the LCLpressure/compression and the impact of having been dropped around.
I guess it’s still possible that something of that sort could have injured Asuka’s check bone but the context of that chamber really doesn’t say ICU/Surgery to me: She’s surrounded by the same Suppression Rods Tuniel and QShogoki have around them, and she’s got needles and wires all over her body in a way that looks awfully reminiscent of Tuniel's accessories. From the context behind the looks I’d say that the function of that room is one of a containment and sample chamber, and Ritsuko’s talk about her being a “Valuable sample” only reinforces that.
That kind of makes it seem like it’s more along the lines of contamination than injuries that might be Asukael’s problem, or at least the problem that NERV thinks is worth is looking at. Going by that the patch might be to conceal contamination/aftereffects and lab work, if her skull would have actually been mashed the scars around it would have been rather prominent(there still is the chance that NERV could have removed her eye & sample tissue, but I don’t know if that would happen)
. The Syringes could be involved with suppression, or work as a means of gathering biopsies around the locus of where the Angel might have touched her.
Oh and the part about Asuka being pulled into what looks like a face only furthers the idea of Bardiel as an intelligent personality that could play into the "mental contamination" Ritsuko mentioned.