The Q-Rex is brought to the year 2001 by Commandocon after traveling millions of years into the past.
Since this episode continues from the previous, Tatsuya still has his helmet broken during the Mecha fight.
Since the episode takes place some time after Worlds Apart, Wes's helmet isn’t broken during the first Zord fight. (Although there are some shots that have his broken helmet if the viewer looks closely).
Naoto would gain the TimeFire powers later in the episode, while the V-Rex is resting from the Mecha fight.
Eric had already gained the Quantum Ranger powers in the previous episode before traveling back in time for the Q-Rex.