To put back the medicine cabinet and a small linen cabinet what is the
Best anchor to use. The linen cabinet had a very large wood screws
I guess they found the wood stud because otherwise the wall is hollow.

What do you suggest?

If the cabinets are more then 16'' wide u will be able to catch 2 studs to screw to. Put 2 screws in each stud, one at top and one at bottom of each stud.

Chuck

Most wall cabinets have a mounting strip across the top and bottom. You should find a wall stud and screw to that. Heavy duty molly or toggle bolts will usually work but stud mounting is best.

Very good