The phrase "accepted a motion" is correct and usable in written English.
It is typically used in formal contexts, such as meetings or legislative procedures, to indicate that a proposal or suggestion has been agreed upon.
Example: "The committee accepted a motion to allocate additional funds for the project."
Alternatives: "approved a motion" or "endorsed a motion".
If John Cryer, the chair of the parliamentary Labour party, accepts a motion of no confidence it will result in a secret ballot among MPs.
In a last-minute concession, the government accepted a Labour motion calling for MPs to have more say over the strategy for leaving the EU before article 50 is triggered by the end of March.
Sinn Féin and SDLP councillors accepted a compromise motion from the centrist Alliance party that the flag be flown only on dedicated days such as the Queen's birthday.
Labour and rebel Tory MPs declared victory after No 10 accepted an opposition motion calling on the prime minister to reveal the government's Brexit aims before starting the formal process of leaving the EU.
In the face of a potential revolt from some Tory MPs, Theresa May on Tuesday decided to accept a Labour motion calling for ministers to reveal their thinking before acting to leave the European Union.
Trimble was forced to accept a compromise motion from Jeffrey Donaldson, the anti-Agreement Ulster Unionist, which resulted in the UUP immediately pulling out of North-South cross border bodies.
Attacking the executive's decision to accept a confidence motion given his election as Scottish leader last December with 56% of the vote, Murphy added: "The executive shouldn't take the opportunity to overturn a decision arrived at five months ago by thousands of Labour party members and thousands of trade unionists".
He then went further and announced that he would not permit the Clerks in the Commons Table Office to accept a "notwithstanding" motion from the government, which would seek to over-ride his ruling.
We've given up on the idea that anything can be done, accepting a slow-motion massacre just as deadly as terrorist attacks by ISIS or Boko Haram in other parts of the world.
The best he could hope for was a motion that in effect accepted a pledge by lawn dart manufacturers to tighten their marketing standards.
