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Apple makes a Thunderbolt 2 to Thunderbolt 3 adapter, but I am not sure whether it will work with the UltraStudio Recorder 3G.
From a bandwidth standpoint, the 20 Gbps of Thunderbolt 2 should be more than sufficient for 1080p60 video capture.
The issue is that bus-powered Thunderbolt devices are not always compatible with the Thunderbolt adapter. This is partly because the power delivery specifications for Thunderbolt 2 are lower than for Thunderbolt 3 ports.
For example, the bus-powered Thunderbolt 3 UltraStudio HD Mini did not work with the Thunderbolt 2 to Thunderbolt 3 adapter directly, but some people did have success when using it connected to a Thunderbolt 3 docking station (with external power supply) as described in this thread: viewtopic.php?f=3&t=58680
So I'm not totally sure about the new UltraStudio 3G models. If they have lower power consumption than the UltraStudio HD (which seems possible given that don't have a fan and are much more limited in terms of ports and features), then they might work directly with the adapter. But it's hard to say definitively until someone has tried it.