  Wormholes are considered both from the Wheeler deWitt equation, as well as
from the field equations in the Euclidean background of Roberson Walker
mini-superspace in $R^2$ gravity. Quantum wormhole satisfies Hawking Page
wormhole boundary condition in the Euclidean background of mini-superspace,
however, in the Lorentzian background wave functional turns to the usual
oscillatory function. The Euclidean field equations for $\kappa=0, \pm1$ lead
to the wormhole configuration; as well as oscillating universe in Euclidean
time $\tau$. The oscillating universe is equivalent to expanding universe under
analytic continuation $\tau=it$ and asymptotically leads to exponential
solution. An Euclidean wormhole in the very early era evolves to an oscillating
universe in $\tau$, thereafter crossing deSitter radius transition to an
inflationary era is evident at later epoch only for $\kappa=1$.
