The violent killing put a spotlight on the US civil rights cause after his mother, Mamie Till-Bradley, held an open-casket funeral and a photo of her son's badly disfigured body appeared in media.
"How is it that anyone could suggest that, in the midst of these atrocities, that there was any benefit to being subjected to this level of dehumanization?" she said.
In his Truth Social post, Trump said Smith's office had given him "a very short 4 days" to appear before the grand jury in the probe.
The new law will be "the strongest anti-illegal immigration legislation in the country," according to the governor's office.
It was unclear who originally produced the video, which featured a montage of muscle-bound men, bolts of electricity flying from DeSantis' eyes, and activists lamenting.
At an event in Eagle Pass, Texas, DeSantis took a swipe at Trump, lumping him with other presidents he said had failed to take action to stem the flow of migrants at the border.
Hamburger Mary's, an Orlando bar and restaurant that presents drag show performances, comedy sketches and dancing, filed the lawsuit in response to the law that DeSantis signed in May.
Florida mostly allows officials to receive gifts as long as they are disclosed and won’t influence their official work.
Trump faces 37 criminal counts, including charges of unauthorized retention of classified documents and conspiracy to obstruct justice.
A federal judge in Florida partially blocked the state from enforcing its ban on gender-affirming care, stating that the law was motivated by bigotry.