The president had earlier attempted to fire Cook but was blocked by the Supreme Court.
DOGE, or the Department of Government Efficiency, announced last month that it was officially shut down on July 4.
The bill must next go to a vote in the House of Representatives before the president can sign it into action.
Thousands of bottles of cetirizine hydrochloride are under recall due to cross-contamination, according to a notice.

The legislature has voted to oppose a potential ICE facility near Stewart Airport, the second warehouse location in the county ICE has shown interest in.
The president acknowledged tighter inventories of some munitions but said the U.S. military remained in ‘great shape’ overall.
The school used essay questions about race to identify minority candidates and tag those applications for special consideration, according to the DOJ.
The Eaton fire was caused by electrical arcing on the utility’s out-of-service tower atop a ridge covered with dry fuel.
In a 2–1 ruling, the court said that Congress is responsible for appropriating funds for construction at the White House.
The bill would allow the U.S. Trade Representative to negotiate trade agreements with countries identified as ‘trade deficit economies.’
The suspect originally denied setting the fire, according to an arrest affidavit, and remains jailed on $1 million bond.
The new sanctions target five Cuban entities and eight individuals involved in military procurement from China, Russia, and other countries.
‘Hopefully, this device will address many of the questions he refused to answer at last week’s hearing,’ Sen. Ron Johnson said.
The new cases were reported in Missouri, Arkansas, Iowa, Nebraska, New Hampshire, and North Carolina.
President Donald Trump designated the group as an international terrorist organization in February 2025.
More than 5,000 packages of dabigatran etexilate were recalled due to possible impurities.
The Los Angeles International Airport will get the largest chunk of funding at $289 million, followed by the Miami International Airport.
The attacks were aimed at places of worship, schools, and businesses.
Officials detained dozens of illegal immigrants in the three-day roadside sweep.
Moderate Democrats argue progressive populist Abdul El-Sayed is incapable of winning over enough independents and centrists to become a U.S. senator.