Deleting transparent pixels from each layer independently

I split image into 2 parts, put each part on its own layer and delete the background layer(which contains the whole image). Now I want to save both of these image slices in PSD but without transparent pixels.

Can anyone guide what should I do to remove those transparent pixels from each slice and do export-?layers to files?

I have tried following but none of these works
When I trimmed one layer, both layers get affected.
When I trim each layer independently (after converting them in smart object) and export-> layers to files, I am still getting those transparent pixels.

I want to run this action in the batch process, please advise accordingly.