FormatNames supported by the IExportProvider

With more investigation I found What I had wrong

this is the solution that Implemented for this (SDK for CS5 and CS55 because CS6 can be solved with Manan answer):

                 IDocument* frontDoc = Utils<ILayoutUIUtils>()->GetFrontDocument();

                PMString formatName("InDesignMarkup");

                InterfacePtr<IK2ServiceRegistry> iK2ServiceRegistry(GetExecutionContextSession(),UseDefaultIID());

                if(!iK2ServiceRegistry)

                    return;

               //look for all service providers with kExportProviderService

               int32 exportProviderCount = iK2ServiceRegistry->GetServiceProviderCount(kExportProviderService);

                //Iterate through them

                bool found = kFalse;

               for (int32 exportProviderIndex = 0; exportProviderIndex < exportProviderCount; exportProviderIndex++) {

                    //get the service provider boss class

                    InterfacePtr<IK2ServiceProvider> iK2ServiceProvider(iK2ServiceRegistry ->QueryNthServiceProvider(kExportProviderService, exportProviderIndex));

                   //get the export provider implementation itself

                    InterfacePtr<IExportProvider> exportProvider (iK2ServiceProvider,IID_IEXPORTPROVIDER);

                   //Check to see if the current selecction specifier can be exporter by this provider

                    bool16 canExportByTarget = exportProvider->CanExportThisFormat(frontDoc, nil, formatName);

                    if (canExportByTarget) {

                       found=kTrue;

                        IDFile dest(WideString("path and name of the new file location.idml"));

                        exportProvider->ExportToFile(dest, frontDoc, nil, formatName, kSuppressUI);

                    }

                   if (found) {

                        break;

                    }

               }