Adobe Premiere Pro exporting the wrong colors

The issue is you're on a Mac, which uses a rather intriguing and unique take on color management. Premiere is currently hard-coded expecting the images of the internal monitors (Program, Source, Reference, Transmit Out) to be shown on broadcast-standard Rec.709 calibrated systems. Which yours ... ain't.

But then, very few computers Mac or Pc actually are correctly setup including their monitors for standards. Yea, it's a mess out there.

Are you using the Display Color Management option in the Preferences?

A last comment ... no colorist can control anything once it's off their system either. So they grade to standards, and just let it go. Out in "The Wild" ... every screen will show it differently, none will ever completely match the view they had on their machine.

"The Job" ... realistically ... is to get color/tonal set while 'seeing' the image as close as possible to the pro standard. Then, relatively speaking ... that image will look like other pro-produced media on any screen it's viewed on. You can't say "but it doesn't look like I saw it!" because it never will.

Compared to how you see it within Premiere, even on a full colorist's setup with a dedicated card/output bypassing the OS signal to get a clean image to the monitor, using either internal or external LUTs to precisely control the image on a Grade 1 Reference monitor like a Flanders, Eizo, or pro Sony ($5,000 plus monitors) ... any one screen will show it as less contrasty, another more ... one sort of darkish, another a bit light especially in the shadows, and all with have different colot tints.

But ... to the user of those screens, it will look "good" as it is similar to the other high-q pro media they watch. Which will have the same tonal/tint issues but they can't see them because everything on their screen is off that way.

Neil