  In this paper, we consider the stability of cylindrical wormholes during
evolution of universe from inflation to late time acceleration epochs. We show
that there are two types of cylindrical wormholes. The first type is produced
at the corresponding point where k black F-strings are transited to BIon
configuration. This wormhole transfers energy from extra dimensions into our
universe, causes inflation, loses it's energy and vanishes. The second type of
cylindrical wormhole is created by a tachyonic potential and causes a new phase
of acceleration. We show that wormhole parameters grow faster than the scale
factor in this era, overtake it at ripping time and lead to the destruction of
universe at big rip singularity.
