@merzifonlu has made a very important point regarding what Prof Aksit was talking about until he was rudely and stupidly interrupted by the interviewer.
Yes, he says that they can produce an indigenous 35000lbf thrust class turbofan engine. But the engine that was designed to give this amount of thrust is too large to fit in to the fuselage of the TFX. He even says in the same interview, that the making of the plane before the engine was a mistake.
Most probably, with BAE Systems help, they have made a plane that can accommodate f110 size engines. Now they are asking RR/Kale to manufacture an engine that will fit in to this plane, be stealthy and have 35000lbf thrust.