Andrew Markland, 36, and Mark Nunes, 35, from Brixton were shot outside an HSBC branch in Chandler's Ford.
The Independent Police Complaints Commission is investigating and inquests will open next week.
Terence Wallace, 25, of Oakwood Road, Raynes Park, London, has appeared in court charged with attempted robbery and possessing a firearm.
The police have now recovered a blue Volvo car they were looking for in connection with the investigation.
Banning guns didn't stop gun crime, just like banning bank robbery doesn't deter bank robbers, cameras and armed guards do.