Is 'giving' a noun? -- Not precisely; it is the nonfinite clause which is a noun object of the preposition in.
Is 'the wider movement' a noun phrase? -- Yes
Is 'a sense of cohesion' a noun phrase? -- Yes
Does 'giving' modify 'the wider movement' which in turn modifies 'a sense of cohesion'? -- No. the wider movement is the indirect object of giving; a sense of cohesion is the direct object.
That's my take on the structure.