What I've done is chosen a photo in Lightroom CC, chose "Edit in Adobe Photoshop CC", then once saved back to Lightroom CC [Photoshop edits showing as expected] dragging them down into Collections and telling them to sync to Lightroom Mobile.
The problem is when viewing the photos in Lightroom Mobile on my iPhone, the edits I made in Photoshop CC don't show. Adjustments made in Lightroom show, just not the Photoshop edits.
In Photoshop I'm doing dust removal from scans, and it's bothersome seeing them re-appear on Mobile where I'd like to be sharing them with people on the go.
As you've mentioned that Lightroom Edits from Photoshop are not syncing with Lightroom mobile app, do the edits show up on Lightroom web? Logon to Photo Editor | Online Photoshop Lightroom with your Adobe_ID and check if the edits are available.
Also, check the sync on Lightroom mobile app is working fine. To verify this, you can add several images to a collection( or create new) and check if it syncs through.
I removed them in an effort to troubleshoot, and since the latest update I have a new problem that is when I press save in Photoshop it's prompting me to save an entirely new copy and showing me the Apple Finder window to choose a location rather than just saving and showing me the version in Lightroom...
As for checking the mobile app is working fine, those copies were new and I did try it a couple times before writing.