We numerically and analytically calculate the properties of the bipolaron i
n an extended Hubbard-Holstein model, which has a longer-ran-ge electron-ph
onon coupling like the Frohlich model. In the strong-coupling regime, the e
ffective mass of the bipolaron in the extended model is much smaller than t
he Holstein bipolaron mass. In contrast to the Holstein bipolaron, the bipo
laron in the extended model has a lower binding energy and remains bound wi
th substantial binding energy even in the large-U limit. In comparison with
the Holstein model where only a singlet bipolaron is bound, in the extende
d Holstein model a triplet bipolaron can also form a bound state. We discus
s the possibility of phase separation in the case of finite electron doping
.