Twitter’s new chief executive, Parag Agrawal, said on Friday that he would reorganize top leadership at the company and that two key executives would depart.

The shake-up was the first sign of change under Mr. Agrawal, who took the reins of the social media company on Monday after its co-founder and chief executive, Jack Dorsey, announced his resignation.

Twitter has been under pressure from investors to introduce new products more quickly and add to its revenue, and Mr. Agrawal said in an email to Twitter employees that the leadership changes were designed to accelerate Twitter’s pace.

Twitter’s head of engineering, Michael Montano, and its head of design and research, Dantley Davis, will leave by the end of the year. Mr. Davis had championed a culture change at Twitter that pushed staff for higher performance and that some employees criticized as bullying.

Twitter confirmed the executive departures in a regulatory filing on Friday.

Mr. Davis played a key role in a behind-the-scenes effort over the past two years to remake Twitter’s culture. But he repeatedly clashed with employees because of his blunt style. His treatment of workers was also the subject of several investigations by Twitter’s employee relations department and of complaints to Mr. Dorsey that too many people were leaving.

Mr. Davis and Mr. Montano will remain advisers to Twitter during the first quarter of 2022, according to the regulatory filing.

Mr. Dorsey, Mr. Davis and Mr. Montano are not the only executives who have recently announced plans to leave Twitter. The company’s head of communications, Kelly Sims, departed in November and its head of people, Jennifer Christie, also announced that month that she would leave by the end of the year.

The product and engineering teams within Twitter will be consolidated under three executives, a Twitter spokeswoman said.

Kayvon Beykpour will manage all consumer products, including design and research for those products. Revenue products, including designers and researchers, will be overseen by Bruce Falck. And Nick Caldwell will manage the technical infrastructure on which Twitter runs, overseeing data science and back-end engineering.

Twitter announced in February that it aimed to double revenue and add 123 million more active users by 2023, and the company hopes that consolidating Twitter’s teams under a handful of leaders will help it execute on its plans more quickly, a spokeswoman said.