acquiesce in, acquiesce to, acquiesce with

The phrasal verb acquiesce in indicates passive agreement with something.

• The CEO acquiesced in her management team’s recommendation.

Acquiesce to means to submit voluntarily to a thing, situation or condition.

• I immediately acquiesced (or submitted) to the baby’s demands, hoping to avoid a tantrum.
• Never acquiesce to censorship.
• Why do people acquiesce to violence?

Avoid acquiesce with.

• Incorrect: The union leaders acquiesced with that decision because it was the best option for their members.
• Correct: The union leaders acquiesced in (or agreed with) that decision because it was the best option for their members.