I’m assuming you’re making an Avid title then animating it using keyframes (a) or converting the title to 3D (b) and using keyframes to animate it. If a, then select the titles in your sequence and open the effect editor. Hold down Option (alt) and click then drag the little effect icon from the upper part of the effect editor to a bin. You should see the name of the effect in your bin followed by (without Src). If b, then do the same drag but don’t hold down the option (alt) key.
Now cut your new title into the sequence, then drag the effect from your bin onto the title clip in the sequence. It should now animate exactly the same way.
Hope this helps.