There is really no complementary color to brown, as brown is not included in the color circle.
But as you hopefully understood in the previous post, it is the opposites that emphasize each other.
What then highlights warm brown eyes? Well cool colors!
Blue is the coldest shade, and therefore the one that emphasizes brown eyes the most. There are also other factors that give a cold effect, such as shimmer and glitter!
Here are some examples:
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If you just want to emphasize a little discreetly, for example if you do not like blue eye shadows, then I can recommend Max Factors False Lash Effect Mascara in the shade Deep Blue!
It gives a navy blue color that is not so obvious blue, really nice!
Kiss hug, Imakeyousmile.se