Deleting transparent pixels from each layer independently

[raeen]

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. 

[Trevor.Dennis]

You can't delete transparent pixels, as there is litterally nothing there to delete.  That's what transparent means.  

[raeen]

is it possible to reduce canvas to just the image part

[Zesty_wanderlust15A7]

Image > Trim...

Oops, you already tried that and wonder if there is something better...

[jefbr]

In your document you have 2 layers.

Can you make 2 images that show how you want both image slices to end up in the psd in the end?

With that you will get much better advice.

[raeen]

the sliced images after saving in PSD would look like the ones attached photos. i want to create an action that can be batch processed, (save both parts in one go)