Check the menu for the labels. The names of the labels need to be exactly the same on both computers, because that is how color labels are stored. So if a red label is called 'Red' on one computer, but 'HDR' on the other for example, then the red labels will not carry over.
It might be just a matter of changing the label preset on the second computer.
First of all, thank you for your reply!
An then,... sorry for the dummie question, but, how can I change the "Color Labels" name?
Isn't it an Adobe default setting?
I do found on Lightroom Preferences how to change main Language of LR, but the Color Labels still in the older language (Portuguese).
What I am doing wrong?!
Thanks in advance!
As I am on a trip with only my iPad, I can't show you a screenshot. But here are the instructions: How to flag, label, and rate photos in Lightroom Classic CC
It's probably just a matter of choosing the same preset on the second computer in 'Metadata - Color Label Set'
If you need to edit a set, scroll down almost to the bottom of the page:
Edit color label sets
You can assign names to color labels in the Edit Color Label Set dialog box. The name is then added to the photo’s metadata when you apply the label.
Thank you so much!
It helped me a lot!
Now, everything is working fine on both computers!