Lion & Sync woes via Ext HD

i backup data (word files etc) mbp external hd no problem using synkron , when using synkron try sync same folder (in home folder) on mac mini, synkron produces errors due lack of permissions. both macs have same user name (long , short) different when seen mini, same folder not have me read , write owner. if add folder on ext. hd (apply enclosed folders) sync works. folder not accessible on mbp.
going on here, can set permissions same name (long) on either mac not recognized on other mc. see strange name (fetching) read , write access on folder after bringing either mac after changing permissions include me read , write permissions.
ideas on how make work seamlessly?

 

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