The Doom Patrol is one of DC's oldest modern teams, sometimes considered to be the inspiration for the X-Men. The Doom Patrol consists of outliers, people with an issue which dominates their life to the point of destruction.
Cliff Steele was a race car driver and a champion until he had a terrible accident which very nearly killed him. Instead, they saved his brain and placed it in a robot body.
The other is Rita Dayton, a successful actress and model until toxic fumes turned her into a shapeshifting giantess.
This is them, but apparently they have mentally travelled in time - so their minds are as they are in the 'now', ie as Robotman and Elasti-Girl, but their bodies are as they were in the past.
That is the only reason why an adult man was making out with a teenage girl. It's not because John Byrne is involved.