You can certainly export contains from macOS (OS X) address book and save it in a separate file. However, a direct conversion between .abcdmr (recent file) and .abbu files (contacts archive) seems unlikely. At best you can open the app on your Mac, browse the history and lookup the contact which you can save as separate file.
Home > Search converters: abcdmr to abbu
Conversion of abcdmr file format to abbu file format beta
Search for abcdmr to abbu converter or software able to handle these file types.
Convert Apple Address Book mail recent data to Apple Address Book contacts archive.
We have found one software suitable in our database for this conversion.
Apple macOS / Mac OS X software 
- convert abcdmr to abbu on OS X
Address Book (Contacts) for Mac
Contact management tool for macOS
File extension | Convert | Open | Save | Edit | Create | Import | Export | Extract |
|---|---|---|---|---|---|---|---|---|
Convert from abcdmr file | No | Yes | Yes | abcdmr editor | Yes | No | No | No |
to abbu file | No | Yes | Yes | No | Yes | Yes | Yes | No |
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.
Additional links: Open abcdmr file, Open abbu file
ABCDMR
An abcdmr file extension is related to the Apple Address Book (now called Contacts). An abcdmr file contains mail recent data.
ABBU
Files with abbu extension can be often on macOS / Mac OS X as address book archives for Apple Address Book (Contacts).
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