Well as I said
"wordpress and shopping cart sites plus a few mods to those platforms via plugins etc."
So a company that can do that.
Management, same as I usually do if I sub out some work, email back and forward, check their work, talk to client and then use that info to also shape the work.
Level of quality.. well do the job I ask of them. I cant really vet php code and say that its all perfect and efficient, but functioning websites that dont have 2meg jpgs, spelling mistakes and 404 errors I guess.
Good english is important, even if its just for emails.
I usually use a wordpress or zencart theme as the basis of a job, so there is a foundation for the outsource company to work from.