It is difficult to add two new teams to an existing league without ruffling feathers. If the league and the new owners are on board, I agree with placing them at the back of the draft (1.09/1.10) and they can draw straws for who gets which spot. I am assuming this is full redraft so there should be plenty of good players to go around.
If there is even a hint of an issue, and there are no keepers, I recommend starting a clean slate with a new random order. This keeps it level for all involved. Since this is only the second year, it’s easier to move on this way. I would not start over if this was an established league of over 2/3 seasons and there were kept players involved.
One last thought, if any draft spots were used as trade value, that will still need to be honored and then should default back to my original statement agreeing to move them to the end.