 In this paper, Passive Intelligent Reflecting Surface, IRS, is used to enhance the performance of a full duplex, FD, Bidirectional Machine Type Communication, MTC, system with two source nodes. Each node is equipped with two antennas to operate in FD mode. In reality, self-interference and discrete phase shifting are two major impairments in FD and IRS assisted communication, respectively. The self-interference at source nodes operating in FD mode is mitigated by increasing the number of metasurface elements at the IRS. Bit error rate, BR, and outage performances are analyzed with continuous phase shifting and discrete phase shifting in IRS. Closed form analytical expressions are derived for the outage probability and BR performances of the IRS assisted bidirectional FDMTC system with a continuous phase shifter. The outage and BR performances of the IRS assisted bidirectional MTC system in the FD mode have signal-to-noise ratio, SNR, improvement compared with the IRS assisted bidirectional MTC system in half duplex, HD, mode, as. This article was authored by Periai Karapan Guru Semi Sivabalan Velmaragun, Sundarajan J. Rahman Thairavangadam, Vinodh Babu Kumaravallu, and others. We are article.tv, links in the description below.