In 1938, while visiting Italy, notorious gangster Bugsy Siegel apparently crossed paths with these two high-ranking Nazi officials. He would later quip that he wished he'd killed Göring when he had the chance.
So, let's say Siegel had killed these two. What would the repercussions be for the Nazi regime?
Goebbels and Göring are replaced. Events continue pretty much as historically. the Luftwaffe
may be somewhat more efficient, or less so, depending on who replaces Göring and their relationship with Hitler. The parachute forces will probably be less emphesised, the Luftwaffe ground forces probably won't exist, air defense artillery may be better organised, the FG-42 will probably not happen. The Nazi propaganda machine will be slightly less efficient. The Committee of Three would probably have been somewhat more successful, though it's impact would be limited.
Italy will probably be forced to crack down on organised crime and the Mafia which might help after they lose the war but will have very limited wartime effect.
Hitler may authorise retaliation against criminals in the United Sates.