The phrase "shameless act" refers to a behavior or action that is done without feeling any guilt or embarrassment, even when it is considered wrong, immoral, or socially unacceptable. Full definition
... (N) otice what Paul goes on to say: «Men committed shameless acts with men and received in their own persons the due penalty for their error» (NRSV).» (religion.blogs.cnn.com)
Their women exchanged natural relations for unnatural, and the men likewise gave up natural relations with women and were consumed with passion for one another, men committing shameless acts with men and receiving in their own persons the due penalty for their error. (religion-online.org)
The statement warned youths to desist from such shameless act of defending politicians for a pot of soup, adding that the current APC administration was fighting corruption so as to secure future. (punchng.com)