The phrase "are engaged in a programme" is correct and usable in written English.
It can be used to describe participation or involvement in a specific plan or initiative, often in a formal or organizational context.
Example: "The researchers are engaged in a programme aimed at improving renewable energy technologies."
Alternatives: "are participating in a program" or "are involved in a project."
In trying to assert its jurisdiction across what were once two separate countries, Isis is engaged in a programme of unification.
While she was director, SPRU was engaged in a programme of research on the outcomes of social care, especially in relation to older people, disabled adults and their carers.
ISIL – the so-called Islamic State of Iraq and the Levant – is engaged in a programme of ethnic cleansing, mass murder of enemy soldiers, systematised rape and sexual violence, kidnappings and murder.
Through his expertise as a physicist, and then his opportunism in stealing the research ideas of a graduate student who works with him at an institute in Berkshire known only as the Centre, Beard is engaged in a programme to create cheap renewable energy through a process of artificial photosynthesis (you'll need to read the book to be filled in on the science).
Following a pilot project in 2002, the Serbian government has been engaged in a programme designed to transform residential institutions for children and youth with the support of UNICEF and the Norwegian government.
The US claims that North Korea is engaged in a covert programme to build nuclear weapons, and has entered into elaborate diplomacy with the Pyongyang government.
He argued that it is madness not to be engaged in a hefty programme of public investment at the moment (to paraphrase him: if now with the economy slumping and the government able to borrow at negative real rates is not the time to fix JFK airport in New York City, when is?).
The report stated that the panel felt directors and senior managers were "entirely aware" Mr Whyte was engaged in a deliberate programme of non-payment of taxes and non-co-operation with auditors.
When a child is engaged in a psychosocial programme and claiming their name and identity is part of their healthy development.
