Trump messed up a ton in this crises, and has a lot to answer for. This is not one of them.
Unemployment is almost all within the remit of the individual states. The government approved additional payments to each state, but the state government is responsible for dispersing and managing the unemployment system.
Fiscal and monetary policy are under the purview of the federal government. Individual states are stuck between a rock and a hard place - needing to ramp up spending to respond to the crisis, while receiving much less tax revenue. States can only respond by taking on more debt, further compounding the cause of this financial jam. Hence red states passing the pain downwards by turning the screws on workers. The current response just takes us further into the debt spiral, making the next crisis even worse - if we're lucky enough to have a next one!
Most states are required to have a balanced budget, which makes sense seeing as how they don't have the monetary tools available to the federal government. The state budget has to be balanced at the end of the current budget cycle. States have different budget cycles - 1 year, 2 year and 3 year. Many states have dipped into their rainy day funds. For states whose budget cycle ends this year - this could get really ugly.