Biden's statement was back in May 2024. Why are you posting this now?
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https://www.wral.com/story/fact-check-biden-says-gop-budget-would-cut-law-enforcement-jobs/20874508/
Fact check: Biden says GOP budget would cut law enforcement jobs.
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""The Republican plan would cut federal law enforcement officers -- 30,000 -- including 11,000 FBI agents, 2,000 border agents, DEA agents, and so on," Biden said in a May 10 speech. ..."
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The Rep promoted "Limit, Save, Grow Act of 2023" called for limits on certain spending.  
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"... The plan returns discretionary spending to fiscal year 2022 level in fiscal year 2024 and then grows 1% annually for a decade. That adds up to a savings, compared with the previous trajectory of spending, of about $3.2 trillion. ... The legislation House Republicans proposed would set maximum spending for fiscal year 2024 at $1.471 trillion, which would be equal to the 2022 level. Assuming that defense funding in 2024 will at least match its existing level of $885 billion, $586 billion would be left for nondefense funding, which is 22% less than today’s $756 billion. ...  
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"... U.S. Rep. Rosa L. DeLauro, D-Conn. the House Appropriations Committee’s ranking member, sought projections from agency heads about how a 22% nondefense spending cut would affect the public. *****The Office of Management and Budget***** sought similar data in recent months and sent us a breakdown of what they said were the 30,000 law enforcement jobs at risk including:  
o FBI: 11,000 FBI personnel.
o Bureau of Prisons: 15,360 positions, including 7,419 correctional officers.
o Drug Enforcement Agency: At least 542 positions, including 261 agents.
o Marshal Service: 629 positions, including 418 deputy U.S. marshals
o Customs and Border Protection: 2,000 agents and officer
o Alcohol, Tobacco and Firearms: 500 positions, including 190 agents.
The cuts are a combination of layoffs, furloughs, and being unable to fill jobs lost through attrition. ..."
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The loss of "2,000 Border Patrol" agents was an OMB estimate based on the general numbers in the bill (and a flat ~20% budget cut across all non-defense agencies) and w/o specific $$ for specific agencies. I.e., it was an estimate or a guess. By that, the statement has been characterized somewhat LESS than the truth but also NOT an outright LIE, but somewhere in between.  
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"... Some observers have said ****the GOP should have laid out in detail where the cuts would be distributed.**** But for decades, budget committees have first set a spending target, and then appropriations committees set specific funding levels. ...