It may be a matter of needing two different sized rubber hoses with an adapter needed at the point where the two different hose sizes meet. The lines you're talking about are most likely the trans cooling lines going to the radiator, but if the radiator has been changed, the rubber line size needed for the radiator may not be the same now.
I'd first take measurements of the openings of the metal line-outlets themselves (at the radiator and at the end of the metal line coming from the trans) to determine if they are the same now. It takes more than a tight hose clamp to ensure no leaks, and with the wrong hose size, an over tightened clamp can actually make leaks worse.