Some comparison figures between the Tu144 and Concorde appear on that map - I don't read Russian, what do they refer to? (the ones that have a + or - sign)
The Tu-144S model had NK-144 turbofan engines, whereas the later Tu-144D model featured more powerful RD-36-51 engines with better fuel efficiency (particularly during supercruise, not requiring afterburner) and longer range.
But...
It should be noted that the original Tu-144 and Tu-144S equipped with the NK-144 turbofan engines could not cruise at Mach 2 without the afterburner on