The phrase "to avoid responsibility" means to shirk or evade one's duty, obligation or accountability for something that one has done wrong, or to escape the consequences of one's actions. Full definition
He is deprived of his method of avoiding responsibility for his behavior by blaming his wife. (religion-online.org)
Don't let an irresponsible, distracted driver avoid the responsibility of the painful injuries and suffering that they have caused you and your loved ones. (andersonhemmat.com)
A child that attempts to avoid all responsibilities in which they must socialize with others may not just simply be shy. (psy-ed.com)