If you boiled the leaves it will make them firm.
If you make just enough sauce to hydrate bone dry leaf it should soak it up and leave it soft.
Of course the companies probably use syrups and things like pg and sweeteners to affect mouth feel.
Should add some salt if you didn't already.
I've only had pouch tobacco a couple times, and the flavor was clearly some combination of smoke molasses and maybe anise. Even sweet needs salt though, so add a dash.
With them trying to be health conscious these days the molasses is probably subbed out with a combination of glycerine, pg, artificial sweeteners, etc.
Just remember not to actually boil your leaf. I'm only guessing here but if you want to experiment destem a couple leaves, slice into the size cut you want your end product to be, take a tablespoon molasses, tablespoon soy sauce, half a teaspoon smoke flavor, maybe 5 drops anise extract, half a teaspoon high pH such as sodium carbonate, mix this in a cup real good. Put the shredded tobacco in the oven on 200 to dry out real good for like 5 minutes. When it crumbles let it cool down and gently get it into a zip lock. Put the sauce in the microwave for like 10 seconds and mix it good, then dribble over the shred in the bag stop when it's coated but before it's swimming, close the bag and let it sit in the frig overnight.
I haven't made this I'm just guessing at a recipe, the idea being if you like it you can try subbing ingredients. First thing I'd change would be to find a sugar replacement.
Maybe jbd will share a recipe, I've read his over the years and they sound good. Also workhorse shared one that was good, can't find the link though.