Such is one of the challenges when using veneer. I suggest spraying very dilute dye in successive coats until things match up. On scraps of course.
I've had success with tinting shellac & brushing it on to match colors also.
I use old paint thinner by using it for the initial wash, then a wash with fresh thinner, then I work in a big blob of dish soap, rinsing well. It actually seems to get the last finish residue better than just using paint thinner alone.
I collect the spent mineral spirits in an old thinner container. When it gets full, I take it to a recycling facility.