Production of flowers on old stem from dormant buds is

1. Anthesis
2. Polycarpy
3. Anthotaxy
4. Aauliflory

Anthesis is the period during which a flower is fully open and functional. It may also refer to the onset of that period.

Polycarpy is having a gynoecium composed of two or more distinct ovaries.

Anthotaxy is the arrangement of flowers in a cluster; the science of the relative position of flowers.

Cauliflory is a condition found in trees and woody vines where flowers and fruit are borne directly on the trunks and older branches.

So, the answer is Cauliflory. It should be option (4) but it is incorrectly spelled as the first letter C is missing.