  We study stochastic gravitational wave production and baryon number
generation at electroweak phase transition with the two Higgs doublet models.
The produced stochastic gravitational wave during the strongly first-order
phase transition can be probed by future space-based interferometers. The {\it
nonlocal} electroweak baryogengesis cannot address the observed Baryon
asymmetry of the Universe successfully in the strongly first-order phase
transition parameter spaces due to the CP violation phase is severely bounded
by the electron electric dipole moment measurement ACMEII.
