Asynchronous Control Flow

I've been playing around with DispatchQueue.main.async/sync, but I'm still not able to make the methods run in the order I need them to. I split up the nested loop to make it simpler, but it's still giving me issues. How can I modify the code below so that it runs the entire first part, then the entire second part, then the entire third part? Adding DispatchQueue.main.sync around parts 1 and 2 didn't seem to do it.

func fetchRecipes(query: String) {
    print("method start")
    var finalRecipes = [Recipe]()
    let owned = self.loadIngredients()
    var count = 0
    var ownedRecipes = [Recipe]()

    UIApplication.shared.isNetworkActivityIndicatorVisible = true


   //FIRST PART
    print("fetching recipes")
    print("1")
    self.viewModel.recipes(matching: query) { recipes in
        print("2")
        for item in recipes {
            ownedRecipes.append(item)
            print("3")
        }
    }
    print("recipes fetched")



    //SECOND PART
    print("converting recipes")
    for item in ownedRecipes {
        self.viewModel.recipe(id: item.recipeId) { recipe in

            let ingredients = recipe?.ingredients
            for ingredient in ingredients! {
                for thing in owned! {
                    if (ingredient.localizedCaseInsensitiveContains(thing.name)) {
                        count += 1
                    }
                }
            }

            if true {
                finalRecipes.append(item)
            }
            count = 0
        }
    }
    print("recipes converted")


    //THIRD PART
    print("done!")
    self.insertRecipes(recipes: finalRecipes)

    UIApplication.shared.isNetworkActivityIndicatorVisible = false
    self.loadingMore = false

}

Also, for context, the recipe functions in my view model looks like this:

func recipe(id: String, completion: @escaping (Recipe?) -> Void) {
    apiClient.recipe(id: id, completion: completion)
}

func recipes(matching query: String, completion: @escaping ([Recipe]) -> Void) {
    apiClient.recipe(matching: query, page: currentSearchPage, completion: completion)
}