"properly engaging" is correct and can be used in written English.
You can use it to emphasize that something is engaging in the proper way or to a proper degree. For example: The school organized a properly engaging program for the students to explore science.
It's the sort of move you can only pull once you've taken viewers with you on a properly engaging journey.
It is always a battle to create properly engaging architecture because the combination of design imagination and client profitability is a fundamentally autistic construct.
Morris said the aim was to get a tricky balance of looking both backward and forward, as well as properly engaging with Bristol and its people.
There needs to be a real focus on children and young people, which must start with properly engaging with and talking to them.
But by not properly engaging the background operations of ideology, Chomsky risks falling in a trap door which he himself set, making the same error of which he accuses his opponents.
A cover of The Dovers' gleaming garage pop nugget She's Gone is faultless, and a run through Before Today's Rockin' Ramrods cover Bright Lit Blue Skies finally sees Pink properly engaging with the crowd, who sway gratefully in response.
When properly engaged, religious and community leaders become strong community allies to eradicate polio.Terrific.
Until now, films about drones haven't properly engaged in the debate.
He pulses with vexation about Labour's reluctance to properly engage on Brexit.
But I think that doesn't mean anything unless these students are being properly engaged.
It's not that they don't want to play football but they have not been properly engaged.
