MIAMI - For years, U.S. immigration authorities in Miami routinely rejected green card applications from children born outside Cuba to Cuban parents because they could not produce certain Cuban government-issued documents to prove they were Cuban citizens. No longer, thanks to Liliana Lozano Buschini, a 45-year-old woman born in Venezuela, and her attorneys. They recently persuaded U.S. Citizenship and Immigration Services to reverse a long-standing practice in the Miami immigration office to turn down applications by the children of Cuban parents who happened to be born abroad and didn't have the required proof of citizenship. The decision, issued June 30 by the chief of USCIS' administrative appeals office, opens a whole new avenue for people of Cuban ancestry to claim protection under the Cuban Adjustment Act, say immigration lawyers familiar with the issue.