It depends on how fast you need to switch:
Your IGBT has a gate charge of about 200ns. The gate charge of both IGBTs is maybe 300nC total.
Let's assume you want to switch in 100ns, then you need 300nC/100ns=3A gate drive.
IR2110 can drive 2-3A, so its output resistance is probably somewhere around 5ohms. Since the gate drive transformer is driven using a H-bridge, there are two driver in series. So you have around 10 ohms series resistance, limiting the output current to less than 2A at 15V, that's less than 1A per IGBT.
UCC3732x instead of IR2110 uses mosfets + BJTs for its output stage, therefore it has much less resistance and can drive much larger currents because of its fixed voltage drop.
IR2110 could work, but it is probably less reliable than when using the more powerful driver.
Maybe you could add an additional driver stage between IR2110 and gate drive transformer using BJTs. But this will add an additional delay.