Duplicating a group of effects from another document using actions

Duplicating a group of effects from another document using actions

I want to apply different effects and overlays (images) collected in a
single group onto multiple images using batch processing.
Is there a way to copy them onto the images instead of recreating and
recording them in an action?
To clarify: Effect Group (Adjustment layers and an image) --->
IMG_0001.jpg, IMG_0002.jpg ...