This is an interesting concept from what I can understand, but I believe this is intended to be high Mach solution for speeds in excess of M3, not the subsonic cruise efficiency / high specific impulse supercruise variable bypass concepts in the XA100-103 engines.
It appears that they are addressing the issue of airflow turndown that occurs at elevated Mach numbers as the inlet temperatures increase while the engine reaches it rotor speed and turbine inlet temperature limits. Further increases in inlet temperature reduces the corrected rotor speed, reducing airflow and moving the compressor towards rear end choked flow and front end stall. The single rotor J58 cambered its inlet guide vanes and opened its bleed bypass at M2.2 to unload the front end of the compressor and capture the bypassed air for use in the augmentor section. You can see the J58 referenced as the middle line on the two graphs.
The pictured concept combining some of the architecture of the YF120 variable bypass engine with the J58 bleed bypass from the 2nd stage of the high compressor on a low bypass 2 spool turbofan, and adding duct burning and reintroducing the heated bleed bypass air to the core flow in front of the low pressure turbine. The claim is that this cycle will raise the OPR of the engine into the more efficient part of the compressor map under the M3+ portion of the flight envelope.
Will it work? I don’t know. Difficulties I see are:
1. Cooling of the LPT. The low turbine normally runs cooler than the HPT and doesn’t need as much cooling air. Heating the bleed bypass air will drive significantly higher LPT cooling requirements.
2. Normally at high power, air entering the LPT vanes is choked, as is the combustor air entering the HPT vanes. Increasing the temperature of the LPT entry air will change the LPT vane flow area requirements to keep the same pressure drop across the HPT. May require variable geometry LPT vanes.
3. The airflow turndown with increasing inlet temperature affects the fan also. The heated bleed bypass air can drive the low rotor faster to offset this reduction in airflow, but there will be a structural limit on how fast the Fan can turn, as well as the LPT which is also running hotter. Alternatively, you can limit the low rotor speed by closing the exhaust nozzle, increasing the engine pressure ratio and thrust at that airflow. This also increases the fan pressure ratio, pushing the fan closer to stall.
As I said, this is an interesting concept for a high altitude M3+ engine, perhaps a modern take on as a J58 successor.