Both take longer when documents must first be retrieved from an institution abroad. Start by confirming which documents exist and in what language, since ordering an evaluation before the underlying transcript arrives simply moves the wait rather than shortening it.
Agree the workflow with the required providers
First identify the source records and required outputs. Ask the evaluator what originals, copies or translations it accepts, and coordinate that with the application’s translation requirements. A provider offering both services may organise the work differently from two separate providers. Obtain estimates for the actual sequence rather than assuming every evaluation must await a separately commissioned translation.
The conferring institution's transcript is usually the quicker of the two, since the student is recent enough to sit in an active system. If the degree route is required, start the retrieval request the same week the route is confirmed, because it is the item most dependent on others. Not until the letter has been read against the profession list and corrected if needed, the degree documents and translations are in hand, and any foreign credential evaluation is complete. Sequence the move around immigration permission and the genuine employment start, not around reimbursement deadlines.
A credential evaluation depends on an outside agency and on transcripts arriving first.