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Could anyone please explain the parts in bold? Would it be grammatically correct if I write "accept" instead of "accepting" here?

▪ Meanwhile back in reality, most will drain your bank account, stress you into an early grave, and create unnecessary problems in your life while never accepting personal responsibility for their own toxicity.

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"back in X" literally means "returned to the place X", as in e.g. "I have been staying in Manchester for a few days, but now I'm back in London". In your case, the figurative "place" is a state or condition of "reality", as contrasted with an implausible or fanciful situation.

"accept" would not be correct here. This is because of "while".

Comments  
HasibrahmanCould anyone please explain the parts in bold?

"Meanwhile, back in X" is a formula from the old silent movie serial cliffhangers. They would put those words up on the screen. For example, they might show our hero having a gunfight with the bad guys out in some canyon, put up "Meanwhile, back at the sawmill", and then show Polly Purebred being lashed to a log by the villain, about to be sawed in half. It was a laughably direct way of changing scenes and is used today jocularly.

HasibrahmanWould it be grammatically correct if I write "accept" instead of "accepting" here?

wrote

No. "While" demands the participle. To use "accept" it would have to be "and create unnecessary problems in your life and never accept personal responsibility for their own toxicity." But that is not good.

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 GPY's reply was promoted to an answer.

Thanks both of you ❤ Could you please explain what this means in the question above: "stress you into an early grave" and why participle wasn't used here?

▪ I felt very tired while we were eating.

HasibrahmanThanks both of you ❤ Could you please explain what this means in the question above: "stress you into an early grave"

Cause you to become so stressed (mentally/emotionally pressured) that you die young. (Not necessarily meant entirely literally.)

Hasibrahmanand why participle wasn't used here?
▪ I felt very tired while we were eating.

I don't understand the question. What participle do you think could/should have been used but wasn't?

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