Locales for LibreOffice only include Northern Kurdish, and it's named "Kurdish" instead of the correct "Kurdish, Northern" (Kurdish encompasses all variants of the language, it's unspecific). Central Kurdish and Southern Kurdish need to be added too since they are basically different languages. Central and Southern Kurdish use a modified arabic script by default and are RTL whereas Northern Kurdish by default uses latin script and is LTR.

I will suggest the mappings without country codes, this is because the variants of Kurdish are similar throughout each country and there's not much of a use in separating things by country. If country codes are an absolute must I can suggest them anyway.

The three letter 639-3 codes should be used in the locale settings for the Kurdish variations and not the two letter 639-1 codes, the suggested names in the following list should be used and not simply "Kurdish".

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Codes and mappings (ISO 639-3):

Mapping: ckb
Info: RTL, unicode
Language list:
	English: Kurdish, Central
	French: Kurde, Centrale
	German: Kurdisch, Zentral
	Kurdish, Northern: Kurdí Sorani
	Swedish: Kurdiska, Central
	Turkish: Kürtçe, Orta

Mapping: ckb-Latn
Language list:
	English: Kurdish, Central (latin)
	French: Kurde, Centrale (latin)
	German: Kurdisch, Zentral (lateinisch)
	Kurdish, Northern: Kurdí Sorani (latînî)
	Swedish: Kurdiska, Central (latinsk)
	Turkish: Kürtçe, Orta (latin)

Mapping: kmr
Language list:
	English: Kurdish, Northern
	French: Kurdes du nord
	German: Kurdisch, Nördliches
	Kurdish, Northern: Kurdí Kurmancî
	Swedish: Kurdiska, Nordlig
	Turkish: Kürtçe, Kuzey

Mapping: sdh
Info: RTL, unicode
Language list:
	English: Kurdish, Southern
	French: Kurdes du sud
	German: Kurdische, Süd
	Kurdish, Northern: Kurdí Xwarig
	Swedish: Kurdiska, Sydlig
	Turkish: Kürtçe, Güney

Mapping: sdh-Latn
Language list:
	English: Kurdish, Southern (latin)
	French: Kurdes du sud (latin)
	German: Kurdische, Süd (lateinisch)
	Kurdish, Northern: Kurdí Xwarig (latînî)
	Swedish: Kurdiska, Sydlig (latinsk)
	Turkish: Kürtçe, Güney (latin)

note: About the ku-TR and ku-SY that are currently there: change the language list name for them from "Kurdish" to "Kurdish, Northern". This means that there will be three "Kurdish, Northern" in total (ku-TR, ku-SY and kmr). Also, all language tools and localizations should be updated and assigned to kmr instead of ku, once that's done I guess ku-TR and ku-SY can be removed. If someone still wants to differentiate between Northern Kurdish in different countries, then the mappings kmr-XX can be used (IQ,IR,SY,TR) (and not ku-XX as ku is the macrolanguage kurdish and not specifically Northern Kurdish), I don't recommend having country codes though.

note 2: sdh-Latn and ckb-Latn are LTR and use the same script as kmr. I think they use unicode, but I'm not 100%.

note 3: In the language list, when I write "Kurdish, Northern:", I mean the localization that is currently named "Kurdish". Like I said, this localization should be renamed to "Kurdish, Northern".

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Microsoft added Central Kurdish to Windows 8 and Office 2013. Here are the LCIDs for Windows 8 (they're probably the same for Office 2013):
Central Kurdish, 0x0092, ku
Central Kurdish, 0x7c92, ku-Arab
Central Kurdish	Iraq, 0x0492, ku-Arab-IQ

(source: http://download.microsoft.com/download/9/5/E/95EF66AF-9026-4BB0-A41D-A4F81802D92C/[MS-LCID].pdf)

A Word 2013 document written in sorani/arabic script and marked as "Central Kurdish Iraq" is assigned the code "ku-Arab-IQ" in the xml, just as the Microsofts LCID list says (so 0x0492 should be linked to "ckb").
Text written in latin can't be assigned "Central Kurdish Iraq" in Word 2013, this indicates that "Central Kurdish Iraq" ("ku-Arab-IQ") is reserved for sorani/arabic script only. Perhaps then, "ku" is reserved for Central Kurdish latin (if true then 0x0092 should be linked to "ckb-Latn") and "ku-Arab" for Central Kurdish throughout all countries – ie Iraq+Iran – meaning that 0x7c92 should be linked to "ckb". But it's hard to say at the moment.