Unemployment insurance (UI) is a joint venture between the federal government and the states: each state sets its own recipient critera based on federal guidelines.
The federal government collects taxes from employers, which go into a Trust Fund that pays for administrative costs, state loans, and extended benefits. States collect employer taxes too; these fund the first 26 weeks of unemployment benefits.
During long periods of economic downturn, the federal government has two ways to help states with the highest rates of unemployment: the extended unemployment program and emergency unemployment compensation.
The former is funded by the Unemployment Trust Fund. The latter is funded by the US Treasury; therefore, extending it requires Congressional approval.