Outline 1, Brief review on dark energy models, cosmological constant or dynamical dark energy, current status 2, Interacting dark energy direct coupling: l(yy, Fa Fpo, Ggo,. propagates long range force, spoils the flatness of the potential of dark energy derivative coupling oo(y, Foa, gas) spin-dependent force, shift symmetry, guarantee the flatness of the potential, cosmological CPT violation 2 3, Model: L-0,W(B-D)L (B-LL F Fkt Av FuU em F 12 3 (B-L儿L (1/2) B-L) 1/2 B-L) Leptogenesis Anomaly for CMB 4. ConclusionOutline 1, Brief review on dark energy models, cosmological constant or dynamical dark energy, current status 2, Interacting dark energy: direct coupling: propagates long range force, spoils the flatness of the potential of dark energy derivative coupling: spin-dependent force, shift symmetry, guarantee the flatness of the potential, cosmological CPT violation 3, Model:    B L L L J ~  ( − ) Leptogenesis Anomaly for CMB 4, Conclusion ( , , ,...)     O  F G ( , , ,...)    L  F F G G