Copy crop and rotation from one photo to another

Could you place both images in a document, select their layers, convert them to Smart Objects, and then apply Crop with the desired amount of rotation?

Then you should be able to export the both images (one a at time) with whichever layer you want being visible when you export (you can open the Smart Object and hide the layer that you don't want to show):

• https://helpx.adobe.com/photoshop/using/smart-objects-ipad.html

You can create an action croping and rotating the first pic, then play the action to the second one.