SACRAMENTO, Calif. -- Authorities said Thursday two people with ties to the Islamic State have been arrested on terrorism-related charges in California and Texas, including a refugee from Syria who is charged with lying to federal investigators about his travels to the civil war in that country.

The arrests feed a national debate over whether the United State is doing enough to screen refugees from Syria for terrorists from that nation.

Court documents state the men wanted to assist terrorist organizations affiliated with the Islamic State, although one man is accused of assisting a group that allied with Islamic State after he had returned to the United States.

A criminal complaint unsealed Thursday accuses Aws Mohammed Younis Al-Jayab, 23, of Sacramento, of traveling to Syria to fight and lying to investigators about it.

U.S. Attorney Benjamin Wagner said in a statement while Al-Jayab was potentially dangerous, there is no indication he planned any attacks in the United States.

Meanwhile, the U.S. Attorney's Office based in Houston said late Thursday that Omar Faraj Saeed Al Hardan, 24, of Houston was indicted Wednesday on three charges he tried to provide material support to the Islamic State.

There is no indication from prosecutors Al Hardan was a threat in the United States, but his arrest sparked immediate criticism of the Obama administration's refugee policies from Texas Gov. Greg Abbott and Lt. Gov. Dan Patrick.

"This is precisely why I called for a halt to refugees entering the U.S. from countries substantially controlled by terrorists," Abbott said in a statement. "I once again urge the President to halt the resettlement of these refugees in the United States until there is an effective vetting process that will ensure refugees do not compromise the safety of Americans and Texans."

Both men are Palestinians born in Iraq, authorities said.

The complaint in federal court in Sacramento said Al-Jayab came to the United States from Syria as a refugee in October 2012. While living in Arizona and Wisconsin, he communicated on social media about his intent to return to Syria to fight for terrorist organizations and discussed his previous experience fighting against the regime in Syria. When he was interviewed by citizenship officials, he lied about his travels and ties, the complaint alleges.

He left the United States in November 2013 but came to Sacramento in January 2014, the FBI said in a 20-page affidavit.

Social media and other accounts state as soon as he arrived in the United States, he began saying he wanted to return to Syria to "work," which the FBI said is believed to be a reference "to assisting in and supporting violent jihad." It said it appears he wanted to assist the "Front," which the FBI said was "likely a reference to al Nusrah Front," considered a terrorist organization affiliated with Al-Qaida in Iraq. Authorities said he fought with various terrorist organizations, including Ansar al-Islam, which in 2014 merged with the Islamic State of Iraq and the Levant after Al-Jayab had returned to the United States.