"their recommendation" is correct and can be used in written English.
You can use it when referring to a recommendation that someone or a group has made. For example: "The council listened to their recommendation and voted in favor of the proposal."
Exact(59)
Their recommendation?
They have now made their recommendation.
But, nervously at first, they began changing their recommendation.
Their recommendation will be considered by councillors ahead of the deciding votes next week.
They must also include their recommendation on whether or not to seek it.
"But they could arguably use the information to withdraw their recommendation on the stock".
But this month, Oxford's directors withdrew their recommendation for a deal with Cambridge.
Some bring cracked masonry to the job to support their recommendation to reline the flue.
But even if you didn't, their recommendation might still prove useful, albeit negatively.
I would make the appointment, but I would make the appointment based upon their recommendation.... Q.
Trump's letter firing Comey said that he had "accepted their recommendation".
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com