The deadline for the trade (if Packers were to get 2023 draft picks) was earlier than the day of the draft. The reason is Aaron Rodgers had to agree to a revised contract and that revised contract must be on the books for 24 hours before the player can be traded.
The revised contract will be signed by Aaron Rodgers, submitted to NFL by 4pm EST. Then that contract has to be held on the Packers salary cap for 24 hours and then Wednesday at 4pm EST the official trade can be submitted to the NFL. So, basically in 24 hours and ~5 minutes, the trade of Aaron Rodgers to New York Jets will be official.
UPDATE: The revision is converting the "option bonus" as a "singing bonus" which means the money can be spread throughout the contract. Per Jason Wilde.
Thomas can explain it gooder.