Which one occurs both during cyclic and noncyclic modes of photophosphorylation?

Formation of ATP occurs both during cyclic and noncyclic modes of photophosphorylation.
The phosphorylation of ADP to form ATP using the energy of sunlight is called photophosphorylation. Whether the process is cyclic or non-cyclic both involve the formation of ATP molecules.
This consumes the H⁺ ions produced by the splitting of water, leading to a net production of $$\frac{1}{2}{{\text{O}}_2},$$  ATP and NADPH + H⁺ with the consumption of solar photons and water.
In cyclic photophosphorylation, the high-energy electron released from P700, a pigment in a complex called photosystem I, flows in a cyclic pathway.
Non-cyclic photophosphorylation is a two-stage process involving two different chlorophyll photosystems in the thylakoid membrane.