These Powers Never Got destroyed

Well, the Zeo Powers were upgraded by the Turbo ones, I guess it was like a fusion. So, when the Turbo Powers were destroyed the Zeo ones were also.
But even if they were separate powers, the Zeo ones were probably destroyed along with the Power Chamber.

Anyways it's all speculation since many things were never explained.

My theory on how the Rangers got their respective powers back and why certain ones couldn't be used again, keep in mind this is all just speculation on my part...

Jason as the Mighty Morphin' Original Red Ranger: Jason was given back the original cracked Morpher by Rocky either at the end of Zeo when he leaves or at the climax of the Turbo movie when he again departs, as a sign of respect and inner peace between the two. Having no genuine use for it, he sends it Tommy's way to hold on to until one day years into the future, Tommy and Haley are able to repair it and send it back to him with an invitation to help in the "Forever Red" conflict. I personally like to think that once the powers transferred to the replacement Rangers in Season 2, the 'first' original Morphers vanished with those originations of the powers once Jason, Zack, and Trini were teleported away, hence Adam still having partial access to his own original Black Ranger power in "Always a Chance" in implying Zack doesn't.

Tommy as Zeo Ranger V -- Red: I'm of the belief that the Zeo Ranger powers were used/sourced in creation of the Turbo powers and zords, hence why Rocky doesn't just stay on the Turbo team with his Zeo Ranger III -- Blue powers and why Adam doesn't opt for his Zeo Ranger IV -- Green powers in "Always a Chance", while it's alluded far later in "Once a Ranger" that he was indeed powerless prior to his original Black power being fully restored. From my point of view, Tommy and Haley were able to work out 'the kinks' of how to pull off a power for him, managing to get at least one more morph before his Zeo connection to the Morphing Grid went away forever. He may have still had vague-very-limited connections to his Green (the power going back in time with his ancestor, seeing it again during Christmas '94) and original White incarnations, but Red Zeo Ranger was the safest and best option.

T.J. as Red Turbo Ranger: Sure the Turbo powers were gone at the end of that titular season, but as shown in "True Blue to the Rescue", certain Ranger powers could be re-gained in relation to the vehicles manned by the counterpart colors. In Justin's case for that ep of In Space, it was Storm Blaster, giving him back his Blue Turbo Ranger powers. With getting back Lightning Cruiser as well, all indications seem to be after the universal war, T.J. has now regained his Red Turbo powers with that vehicle on top of his Blue Space Ranger powers. Since the particular battle in "Forever Red" was about uniting as many prior Red Rangers as possible, he set aside his Blue Space Ranger form and shifted back into gear with his Red Turbo Ranger self.

Of course Andros, Leo, Carter, Wes, and Eric still had optional uses of their respective Red Ranger powers, it was just the prior Red Rangers that each had their own issues. In the case of Rocky, going by my theory that he gave Jason back the original Red Ranger morpher, he simply doesn't have access to any powers anymore. Already with Zeo Ranger III -- Blue gone, the Mighty Morphin' Ninja Red Ranger is just as destroyed as the Mighty Morrphin' Original Red Ranger, given those newer Power Coins were reduced to ash. The sad fact is he was simply too powerless and too irrelevant for the mission at hand.

Superman & The [Red-Blue] Blur = The Man of Steel