"work matter" is a correct and usable phrase in written English. You can use it to refer to matters that are related to a person's job or career. For example, "I don't want to discuss my work matters with anyone else."
What would make their work matter more?
Real connections and friendships at work matter — a lot.
Experience, respect from peers and hard work matter – not gender.
Preparation and hard work matter, but someone with power in an organization must open the door.
What does Yaqeen aspire to do and why must its work matter to the larger public?
You can never take for granted every leader's need to know they — and their work — matter to you.
Quality of work matters.
The work matters.
His work matters.
To believe that our work matters.
Rothko's work matters desperately to him.
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