Combating Money Laundering, Terrorist Financing, and Counterfeiting Act of 2019 This bill makes changes to anti-money laundering requirements under federal criminal and banking laws. Among the changes, the bill specifies that a blank check drawn on an account containing more than $10,000 is a monetary instrument subject to international transport reporting requirements, increases the maximum criminal penalties for bulk cash smuggling, and permits the government to charge a defendant with a single count of money laundering for multiple violations that are part of the same scheme or continuing course of conduct.