SF story with reversed chronology

Question

I cannot remember name of the story with a plot like this. First of all, chronology is reversed, story is started from the end (it's a pretty short part I), then follows a big middle (part II), and finish is the chronologically beginning (part III).

In a part I it is told, that some guy living in a present, discovers some advanced tech, sells it and becomes rich, lives happily ever after - that's it.

Part II told that this guy met some mysterious stranger shows him this tech from a distant future - kind of teleport. The guy is being chased by other stranger seems to be a bad guy.

Part III is totally reversing the story. In the distant future, some bounty hunter is going to hunt with his partner to the escaped robot, who ran away to the past (our present). This robot have a skill to brainwash people instantly by some mental rays. Hunter is wearing a glasses to protect himself. He arrives to the past, but something suddenly kick these glasses off. That's it. So, the guy from parts I and II is this hunter from the future, brainwashed by robot.

Answer 1

"Happy Ending", a novelette by Henry Kuttner and C. L. Moore (generally published as by Henry Kuttner but attributed to Kuttner & Moore by the ISFDB), first published in Thrilling Wonder Stories, August 1948, available at the Internet Archive. It was also the answer to this old question. You may have read it in one of these compilations.

This is the way the story ended:

[. . . .]

But Kelvin didn't answer. He had suddenly remembered the other thing the robot had told him about that gadget which established rapport when he pressed the button. He pressed it now—and nothing happened. The gadget had gone dead. Its task was finished, which obviously meant he had at last achieved health, fame and fortune. The robot had warned him, of course. The thing was set to do one specialized job. Once he got what he wanted, it would work no more.

So Kelvin got the million dollars.

And he lived happily ever after. . . .

This is the middle of the story:

[. . . .]

The robot said, "You should not have begun the rapport until I instructed you. Now there will be danger. Wait." His eyes changed color. "Yes . . . there is . . . Tharn, yes. Beware of Tharn."

"I don't want any part of it," Kelvin said quickly. "Here, take this thing back."

"Then you will be unprotected against Tharn. Keep the device. It will, as I promised, ensure your health, fame and fortune, far more effectively than a—a horoscope."

This is the way the story starts:

Quarra Vee sat in the temporal warp with his android Tharn, and made sure everything was under control.

"How do I look?" he asked.

""You'll pass," Tharn said. "Nobody will be suspicious in the era you're going to. It didn't take long to synthesize the equipment."

"Not long. Clothes—they look enough like real wool and linen, I suppose. Wrist watch—that's odd, isn't it? Imagine people who need machinery to tell time!"

"Don't forget the spectacles," Tharn said.

Quarra Vee put them on. "Ugh. But I suppose—"

"It'll be safer. The optical properties in the lenses are a guard you may need against dangerous mental radiations. Don't take them off, or the robot may try some tricks."

"He'd better not," Quarra Vee said. "That so-and-so runaway robot! What's he up to, anyway, I wonder? He always was a malcontent, but at least he knew his place. I'm sorry I ever had him made. No telling what he'll do, loose in a semi-prehistoric world, if we don't catch him and bring him home."