Do you still have access to Lightroom 5.5?
If so, click on All photographs in the Catalog panel, disable all filters, select all the photos, and go to Metadata > Save metadata to files. (Cmd + S). This will probably take some time if you have a lot of photos.
(If you have always had Automatically write changes into XMP and Include develop settings in metadata inside JPG, TIFF, PNG and PSD files enabled in the Catalog settings, metadata has already been saved to the files.)
All your edits (but not ratings, collections and History states, and a few other things I can't remember) will be written to XMP files for proprietary raw files, and to the header of all other file types.
Now import the photos (or whatever the cloud version calls it) to Lightroom.
I have never used the cloud version, but I would have thought that it will understand the XMP settings, and that your edits will carry over.
If you don't have access to LR 5.5, install Lightroom Classic, open the 5.5 catalog (LrC will upgrade a copy of it), and do the procedure I described above.
For all I know, the cloud version can extract all the metadata from the from the upgraded catalog, in which case writing metadata to XMP won't be necessary.
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