The phrase "possible irregularities" refers to questionable or unusual activities that may have occurred. It suggests that there might be some deviations from what is considered normal or expected. Full definition
Furthermore, there were signs of possible irregularities in downstate areas controlled by Republicans, which Democrats never seriously pressed, since the Republican challenges went nowhere. (politics.stackexchange.com)
Health insurance experts say the cashless service will «definitely help middle class patients», but warn against possible irregularities. (indianexpress.com)
Three days later Laws resigned his post following revelations about possible irregularities in his expenses claims in The Telegraph the day before. (en.wikipedia.org)