From the White House Budget Fact Sheet:

Protects Our Elections and the Right to Vote. As our democracy faces threats across the country—and to provide state and local election officials with a predictable funding stream for critical capital investments and increased staffing and services—the Budget proposes $10 billion in new elections assistance funding to be allocated over ten years. The Budget also proposes to fund an expansion of U.S. Postal Service delivery capacity in underserved areas and support for vote-by-mail, including making ballots postage-free and reducing the cost of other election-related mail for jurisdictions and voters.

And from the budget:

Protects U.S. Elections and the Right to Vote. As America’s democracy faces threats across the Nation, the State, county, and municipal governments that run Federal elections have struggled to obtain resources commensurate with the improved access and security that voters expect and deserve. Federal funding for the equipment, systems, and personnel that comprise the
Nation’s critical election infrastructure has been episodic or crisis-driven. To provide State and local election officials with a predictable funding stream for critical capital investments and increased staffing and services, the Budget proposes $10 billion in new elections assistance funding to be allocated over 10 years. The Budget also proposes to fund an expansion of USPS delivery capacity in underserved areas and support for vote-by-mail, including making ballots postage-free and reducing the cost of other election-related mail for jurisdictions and voters.

There’s also more detail in the portion of the agency-by-agency budget appendix on the Election Assistance Commission (detail on the new proposed election funding here and here) and the Postal Service (detail on the new proposed election funding here).