The new model health certificates for multiple species have been posted on the official website of the EU Commission. 

COMMISSION IMPLEMENTING REGULATION (EU) 2022/37 of 12 January 2022 amending Implementing Regulation (EU) 2021/403 as regards model animal health certificates and model animal health/official certificates, for the entry into the Union and movements between Member States of consignments of certain species and categories of poultry and captive birds and germinal products thereof... https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX%3A32022R0037&qid=1642084920078