'handle such matters' is correct and usable in written English.
You could use it in a variety of contexts. For example, "The office manager is responsible for handling such matters as payroll and employee benefits."
Most good novels handle such matters with discretion, but this one discusses them out loud.
Sessions said that an internal committee would now handle such matters.
They said they had written a statement detailing how Mark Green would handle such matters.
He will also handle such matters as time of game, uniform policy and stadium configuration.
The ministry assigned to handle such matters had ignored her calls for three months, so she and her neighbors collected the money to pay for the repairs themselves.
At that, several monitors jumped in and began talking about the need to develop China's legal code to handle such matters.
The emergency request will go to Justice Ruth Bader Ginsburg, who handles such matters from New York.
He demonstrated acumen in handling such matters as players' pensions, a players' strike, subsidiary league enterprises, & the complicated merger with the American Football League.
Nonetheless, he said, the lawyers stood ready to file an appeal if necessary with the Vatican court that handles such matters.
Under the new agreement, Ms. Collins said, victims are to be involved in shaping how the church handles such matters in the future and in improving structures for dealing with abuse and complaints.
Whether or not the city board that handles such matters would have granted the University Club's request without complication is a matter of dispute, but, in the event, Cianci intervened and in a brusque and bullying manner told his appointees to turn the club down.
