Firstly you MUST tune the heads evenly very accurately, try a drum dial for that. then tune them top and bottom to the same pitch, by now you should have a nice ring, to lower the pitch adjust the bottom head only, keeping the top/batter head at just the right tension for your playing style. Roger often bring the resonant head up slightly in tension for the batter head, but I suggest onlty a small amount.
Note * you need the heads tight enough to be able to play with some rebound,(around 75-80 on a drum dial) but pretty loose, don't bring them up to Neil Peart tension!!!
Use no damping and I suggest Remo Emperor coated heads, they are double skin and resonate well.
Note* If your toms are smaller than his you could try a different head, he has used Pinstripe heads before, they are thicker and make the drum sound fatter, but you get less ring and less response.
A lot depends of the depth of the toms, I have the same sizes as Roger and they do sound the same, however you will struggle on smaller toms, a lot of his sound is also in the recording, mic placement as well as choice. And his stick size as well makes a difference 5B I suggest.
One other thing that make a big difference
is the room, ceiling height plays an important factor as does carpets and furnishings, Roger will probably record in a 'live' room more often than not with a mic on the snare, bass and hihat, then mics placed above the kit and possible right in the corner of the room for natural reverb.
Mics placed close to the drums can choke them and you lose the depth of the ring.
Finally the EQ on the desk will adjust the tone and add or remove overtones.
As you can see unless you have the same kit, smae room and same drummer it's almost impossible to get the smae sound, however you can get close with practice.
"It is better to sit in silence and have people think you're a fool, then to open your mouth and remove all doubt"