Thanks for reaching out. We're here to clear the confusion.
You can move a photo easily from Lightroom Classic to Photoshop using the command "Edit in Photoshop" present in Lightroom Classic. You must follow some steps to pass an image from Photoshop to Lightroom.
To export a photo from Photoshop to Lightroom, go to File> Save A Copy in Photoshop. Save your image as a TIFF file and set the export location to a folder already imported in Lightroom. In Lightroom, click Import and select the folder that you exported the File to bring it into Lightroom.
Let us know if this helps.