you can use viewModel to share data between fragment.

class SharedViewModel() : ViewModel(){
    val sharedString = "some string"
}

on fragment1:

class Fragment1 : Fragment() {
  private val viewModel: SharedViewModel by activityViewModels()

  override fun onViewCreated(view: View, savedInstanceState: Bundle?) {
    super.onViewCreated(view, savedInstanceState)
    Log.e(TAG, viewModel.sharedString) // some String 
    ............

on fragment2:

class Fragment2 : Fragment() {
  private val viewModel: SharedViewModel by activityViewModels()

  override fun onViewCreated(view: View, savedInstanceState: Bundle?) {
    super.onViewCreated(view, savedInstanceState)
    Log.e(TAG, viewModel.sharedString) // some String 

    ............

P.S : make sure you the viewModel have same instance on both fragment, you can learn more on documentation