With records that show decisions, not activity: budget approvals, hiring authority, contract sign-offs and an organization chart with real subordinates or a clearly defined managed function.
Evidence decisions, then let the title follow
Hypothetical example: a Quispamsis firm's delivery director is respected because she can still fix a broken backup job faster than anyone. The petition must show that fixing backups is not most of her job. Useful evidence includes signed staffing plans, approved budgets, performance reviews she conducted, hiring recommendations she made, client-contract escalation clauses naming her as the decision-maker and board minutes recording her operational reports. An organization chart showing engineers reporting to team leads who report to her supports the managerial claim. If her U.S. team will be small at first, describe the function she manages and the subordinate professionals or contractors who perform the hands-on work. A percentage breakdown of duties, honestly estimated, helps the officer see that management predominates.
Government records of admission and prior approvals usually arrive first and fastest; employer records — assignment letters, payroll by jurisdiction, internal transfer notices — take longer and often need a request routed through a former manager who has since moved on.