example.js

// @flow
type F = <P, D, R>(P => (D => R)) => (P => R)

type BindActions<O: {[key: string]: Function}> = $ObjMap<O, F>

type Dispatch = string

const actionFoo = (a: number) => (d: Dispatch): Promise<number> => Promise.resolve(a)
const actionBar = (a: string) => (d: Dispatch): Promise<Array<string>> => Promise.resolve([a])

type MapDispatchToProps = BindActions<{
  actionFoo: typeof actionFoo,
  actionBar: typeof actionBar,  
}>

type OtherProps = {a: string}

type Props = {|
  ...$Exact<MapDispatchToProps>,
  ...$Exact<OtherProps>
|}

const StatelessFunctionalComponents = (props: Props) => {
  props.actionFoo(7)
    .then(x => x + 5) // Works!

  props.actionBar('7')
    .then(x => x.concat('5') // Works!
}

connect(
  null,
  {
    actionFoo,
    actionBar
  }
)(StatelessFunctionalComponents)

flow-typed-mapDispatchToProps.js

// @flow
type F = <P, D, R>(P => (D => R)) => (P => R)

type BindActions<O: {[key: string]: Function}> = $ObjMap<O, F>