Your need a wet diamond pad protocol on a grinder with an experienced operator. Not a DIY project.

My newbie sat a rough pad on an estone top while polishing the new sink cutout:

I got 'em out. Fortunately this and your color are whites which are much easier to finish match than the darker estones.

"..baking soda paste (probably made it worse)"

Yes, but not seriously though. Getting the scratches/etch out is the easy part. Matching the finish consistently is where it gets tricky. Your abrasions don't match the factory finish; that's why it looks worse.

My compliments on your photography. Low level light shots are critical for evaluating the problem and the solution:

@Joseph Corlett, LLC thanks so much for the info and I tried to get the best photo possible, it only shows during the daytime without any lights on. Unfortunately at the current time, I'm unable to afford to get a pro to fix this. What grit do you use when polishing? I'm assuming low to high? I zoomed a lot on the vanity to show the spot but in reality it is only about 1-1.5 cm long. Thanks again for your help

thank you! I don't know if it is just my city that is expensive, but I called 2 local companies and they would charge mroe to fix this than for me to get a brand new quartz top !

I already own an orbital sander (my family is in the construction field) so may be worth a try?

I'm assuming low to high grit and then some kind of polishing compound is what the pros do? (obviously with specialized equipment and expertise!)

Fortunately it's a vanity top, so even if you have to refinish the whole thing to get consistency, it won't take too long. You'll need to keep your pads wet. If you run them dry, you burn the resin in the estone and have to start over. Don't make a butterdish either please. MB 20 polishing compound on a white pad can make it more glossy than the factory finish.