Did the Mongol Empire have any long-lasting influence? Why is it discussed less than the Roman Empire, which was a significantly smaller empire? There was once a tweet that asked the same question. It is difficult to find a non-Eurocentric answer to the question, considering a majority of the internet is populated with reactionaries with an affinity for the Roman Empire as the 'greatest civilization' so to speak.
Rome maintained a centralized state over a very long period of time, in a fairly compact region (the Mediterranean and western Europe). The Mongols covered a lot of different, far-flung cultures that almost immediately went their separate ways after Genghis Khan's death. Their influence is more comparable to Alexander the Great's empire, where it briefly had incredible influence across the world but then each region developed separately.