Please do not double post. You posed this question on the general Type & Typography forum where I provided a response. I have locked that thread and will repost my response here!
Adobe Fonts doesn't offer both OpenType TrueType and OpenType CFF fonts for each font available. The vast majority of the fonts provided by Adobe Fonts are in OpenType CFF format and the others, many of which are some of the original Typekit fonts and/or were sourced from Google Fonts are in OpenType TrueType format.
In terms of differences you are seeing, you don't indicate what program or programs you are referring to on MacOS and Windows, but for Adobe applications using the exact same font file, assuming that you are using the same version of the same application, font metrics including leading and kerning are treated exactly the same. Adobe applications do not use the operating system font services, but rather their own font services (a module called CoolType).
In the specific case of Ubuntu, I can confirm that Adobe Fonts serves an OpenType TrueType font file for both Windows and MacOS. I've just tested them. There is not one iota of difference between the font files based on platform. That being the case, perhaps you can advise as to what application(s) you are seeing a difference in?!? I cannot see a difference between how Ubuntu is being handled on MacOS versus Windows in InDesign, for example. Microsoft Office applications are a totally separate matter; the layout cross platform using the same font can be quite wonky, regrettably.
If you can provide more specifics, we might be able to better assist you.
- Dov