Equality Illinois, the state's largest LGBT rights advocate, on Thursday criticized attempts to overturn or weaken the state's gay marriage law.

Illinois currently recognizes gay couples with civil unions. However, a gay marriage bill signed into law by Governor Pat Quinn in November takes effect on June 1.

One of the bills, filed by state Senator Kyle McCarter, a Republican from Lebanon, seeks to repeal the law. A second Republican lawmaker, Rep. Josh Harms, has introduced legislation that seeks to broaden the law's list of exempted religious facilities to include religious schools and “places of worship.”

(Related: Illinois Republican introduces legislation to repeal gay marriage law.)

“Having lost the war, opponents to the freedom to marry now want to refight the battles and turn back the march of history and the progress of the state of Illinois,” Bernard Cherkasov, CEO of Equality Illinois, said in an emailed statement.

He added: “While we do not expect either measure to gain any traction in the legislature, these bills demonstrate that marriage opponents are not giving up and they're not closing up shop in Illinois. And we will not allow candidates to use the LGBT community and our allies as punching bags in an election year.”