Newly empowered House Republicans on Sunday demanded the White House turn over all information related to its searches that have uncovered classified documents at President Biden’s home and former office in the wake of more records found at his Delaware residence.

“We have a lot of questions,” said the chairman of the House Oversight and Accountability Committee, James Comer, a Republican from Kentucky.

Mr. Comer said he wants to see all documents and communications related to the searches by the Biden team, as well as visitor logs of the president’s home in Wilmington, Delaware, from January 20, 2021, to present. He said the aim is to determine who might have had access to classified material and how the records got there.

The White House on Saturday said it had discovered five additional pages of classified documents at Mr. Biden’s home on Thursday, the same day a special counsel was appointed to review the matter.

In a letter Sunday to White House chief of staff Ron Klain, Mr. Comer criticized the searches by the president’s representatives when the Justice Department was beginning to investigate and said Biden’s “mishandling of classified materials raises the issue of whether he has jeopardized our national security.” Mr. Comer demanded that the White House provide all relevant information including visitor logs by the end of the month.

Appearing on CNN’s “State of the Union,” Mr. Comer referred to Mr. Biden’s home as a “crime scene” though he acknowledged that it was not clear whether laws were broken.

“My concern is that the special counsel was called for, but yet hours after that we still had the president’s personal attorneys, who have no security clearance, still rummaging around the president’s residence, looking for things — I mean that would essentially be a crime scene, so to speak,” Mr. Comer said.

The House Judiciary Committee on Friday requested that Attorney General Garland turn over information related to the discovery of documents and Mr. Garland’s appointment of special counsel Richard Hur to oversee the investigation.

White House officials “can say they’re being transparent, but it’s anything but,” the committee chairman, Jim Jordan, told Fox News Channel’s “Sunday Morning Futures.”

White House lawyer Richard Sauber said in a statement Saturday that a total of six pages of classified documents were found from Mr. Biden’s time serving as vice president in the Obama administration during a search of his private library. The White House had said previously that only a single page was found there.

The latest disclosure was in addition to the discovery of documents found in December in Mr. Biden’s garage and in November at his former offices at the Penn Biden Center in Washington.

Mr. Sauber said that Mr. Biden’s personal lawyers, who did not have security clearances, stopped their search after finding the first page on Wednesday evening. Mr. Sauber found the remaining material Thursday, as he was facilitating their retrieval by the Justice Department. Mr. Sauber did not explain why the White House waited two days to provide an updated accounting. The White House is already facing scrutiny for waiting more than two months to acknowledge the discovery of the initial group of documents at the Biden office.

Jamie Raskin, the top Democrat on the House Oversight and Accountability Committee, said the Justice Department rightfully appointed special counsels to “get to the bottom” of the Biden classified documents matter as well as in a separate investigation into the mishandling of classified documents at President Trump’s private club and residence in Florida.

But Mr. Raskin also stressed key differences between the two cases, including that Mr. Biden’s team readily handed over documents to the National Archives compared with Mr. Trump’s repeated resistance to such requests.

“We should keep a sense of proportion and measure about what we’re talking about,” Mr. Raskin told CNN.

Asked Sunday if his oversight committee would investigate Mr. Trump’s handling of classified documents as well, Mr. Comer demurred.

“There have been so many investigations of President Trump, I don’t feel like we need to spend a whole lot of time investigating President Trump, because the Democrats have done that for the past six years,” he said.