The paper describes the organization, goals, and results of the sEXism Identification in Social neTworks (EXIST) 2022 challenge, a shared task proposed for the second year at IberLEF. EXIST 2022 consists of two challenges: sexism identification and sexism categorization of tweets and gabs, both in Spanish and English. We have received a total of 45 runs for the sexism identification task and 29 runs for the sexism categorization task, submitted by 19 different teams. In this paper, we present the dataset, the evaluation methodology, an overview of the proposed systems, and the results obtained. The final dataset consists of more than 12,000 annotated texts from two social networks (Twitter and Gab) labelled following two different procedures: external contributors and trained experts.