The proclamation explicitly says the pardon does not apply to President Trump.
Most presidents try to start their terms with a bang, seizing the moment when their influence could be at its peak.
The Justice Department transmitted the report to Congress early Tuesday after a judge refused a defense effort to block its release.
Judge temporarily blocks release of special counsel report on Trump cases amid simmering court fight
Smith's team abandoned both cases in November after Trump's presidential victory, citing Justice Department policy.
The Justice Department believes Trump can no longer be tried in accordance with longstanding policy that says sitting presidents cannot be prosecuted.
Thune beat out two other competitors, Sens. John Cornyn of Texas and Rick Scott of Florida.
Trump's victory over Vice President Kamala Harris means that the Justice Department believes he can no longer face prosecution.
The two candidates spent the waning hours of the campaign overlapping in Pennsylvania, the biggest battleground state.
Bannon reported to the prison July 1 after the Supreme Court rejected his bid to delay the prison sentence while he appealed his conviction.
About 4 in 10 registered voters say they are 'extremely' or 'very' concerned about violent attempts to overturn the results after the election.