Multiple things:
- TL494 needs pull-up (collector output) or pull-down (emitter output)
- 1X4340, what's that? Oh, IX4340? Just the one section of it?
- What NPNs?
- Bottom NPN blows up, gate driver delivers 5A into base to emitter to GND. If wired as labeled, the same happens but B-C (inverted mode operation). This must be a PNP, emitter up, collector down. Then you get a complementary emitter follower, which loses about a volt from the driver but can increase drive strength. But you will need extremely beefy transistors (>>5A!) to improve on the 4340's drive strength. And the voltage loss seems to only worsen operation into the transformer, I don't know why you'd want it.
- Transformer is DC coupled to ground, through some (220 ohm I guess?) resistance. So it just kinda farts and does nothing, which is why the waveform is asymmetrical. In a half-bridge configuration like this, you MUST have a coupling capacitor in series. Some 10uF+ should do, I guess. Depends on load current, inductance and required frequency range.
- Will this not be part of a half bridge, so that the TL494's complementary outputs shall be driven to each end of the transformer, and two inverse secondaries drive the finals?
- It's not obvious that the transformer has anything wrong with it but you will want to use twisted pair (or multiple pairs in parallel) to address leakage, as strawberry mentioned. Note that twisted pair lengths going to the driver and gate, add in series with the twisted pair on the core, increasing leakage further.
- What type is the final MOSFET? Does it need a gate resistor? Will it be driven strong and fast enough as shown? Will it see overshoot? (These are all easily modeled as the RLC series resonant circuit, between driver, leakage + stray inductance, and gate capacitance.)
Tim