Li2−<Li2+<Li2
Bond order ∝ stability of species
Li2=σ1s2<σ∗1s2<σ2s2;B.O=24−2=1
Li2−=σ1s2<σ∗1s2<σ2s2<σ∗2s1;B.O=24−3=0.5
Li2+=σ1s2<σ∗1s2<σ2s1;B.O=23−2=0.5
Li2+ and Li2− both have same bond order, but Li2− has more number of electron in anti-bonding molecular orbitals (experience more inter electronic repulsion) and hence least stable among three species.