Lexol.
That will make any leather soft, right down noodley soft, scarily noodley soft, but it will, once again dry, be the nicest leather forever.
I have used Lexol on many bridles and some saddles, some new.
One that it scared me how dark and too soft it got, but cleared up again and the leather is now, 40 years later, still in excellent shape, if darker by now.
Still, as someone mentioned, now knowing what kind of leather you have there today, the manufacturer would be your best bet for directions on how to care for it.
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These are not my words - I never heard about Lexol before - but of horse people, as you see. But apparently it works!!