The way you tell neutrinos and antineutrinos apart in accelerator experiments is to smack them into something and see what comes out. If it includes one net negative lepton (e-, mu- or tau-), you had a neutrino. If it includes one net positive lepton (e+, mu+ or tau+), you had an antineutrino. These interactions proceed via a virtual W boson ("weak charged current interaction").
If you get no leptons coming out, or an even number of them, but there's a lot of "missing" energy and momentum, then you probably had a neutrino or antineutrino coming out, and you can't really tell the difference. These interactions proceed via a virtual Z boson ("weak neutral current").