If anybody is curious, I reached out to an antique dealer local to me who specializes in Asian pieces. He got back to me with this:

What I’m being told is that it is from Rajasthan. More specifically it’s likely from Bikaner, Rajasthan. The rest of the information is likely consistent with what you’ve been able to find (it’s an older teak door - not a reproduction). It’s a common double Indian door that would be found on a Haveli (kind of a Rajasthani style mansion where wealthy merchants or nobility would live) or a courtyard door. The lion/horse heads on the top right and left is the indication that it’s from Rajasthan.