In Photoshop, you’ll have to create a blank layer and merge this (blank) layer with the layer that has the styles applied to it. This will “rasterize” the layer styles and turn the effect(s) into pixels. The good news: you’ll then be able to see the effect in After Effects, no problem. The bad news: because you’ve rasterized the styles you cannot go back into Photoshop & change the settings of the layer styles.
Alternatively, you can see if you can recreate some/all of the styles in After Effects (things like drop shadow, glow and bevel & emboss will be available)… and they’ll be animatable to boot. Hope this helps!
rjf