For visa matters, Sweden is represented by the Latvian Embassy in Astana and the Consulate General of Lithuania in Almaty.
In Astana:
The list of required documents available on the website of the Latvian Embassy:
Consular Information (mfa.gov.lv)
https://visa.vfsglobal.com/kaz/en/hrv/attend-centre/Astana
In Almaty: LITHUANIAN REPUBLIC
tel.: 263-25-05; 263-10-40; fax: 263 -19-75 Gorny Gigant microdistrict, Iskanderov str.15
ะต-mail: kons.almata@urm.lt; web site: Ministry of Foreign Affairs | Ministry of Foreign Affairs (mfa.lt)
https://consulate-almaty.mfa.lt/almata/en/travel-and-residence/general-information/visas