"various manners" is correct and can be used in written English.
You can use it to refer to multiple different ways of doing something or of behaving or conducting oneself. For example, "There are various manners in which people can express their feelings."
Stylistically, Dog Eat Dog is eclectic, with scenes in various manners jumbling up together.
He discovered he could rearrange piles of vegetation in various manners and still get them to sustain fire.
This evolution is reflected in the various manners of symbolical expression that may influence and combine with one another.
To Dryden, Chaucer was the primary source not just of English literature but of the English character, "the various manners and Humors... of the whole English nation".
In time, the five elements of the model were renamed so as to specify components for other types of communication transmitted in various manners.
Students concerned mainly with persuasive and artistic communication often centre attention upon different kinds, or modes, of communication (i.e., narrative, pictorial, and dramatic) and theorize that the messages they contain, including messages of emotional quality and artistic content, are communicated in various manners to and from different sorts of people.
Although MGS does not have an inherent notion of nesting, its underlying concepts allow to describe multi-level models in a versatile manner and across various spatial scales.
The study revealed that liquid circulation pattern was affected in various complex manners depending on the arrangement of implanted tubes and prevailing bubble sizes.
Eight quasi-static tests on buckling constraint steel coupling beams with shear yielding had been carried out to study the impact of various constraint manners on seismic behavior of this type of steel coupling beam.
Residence time distribution (RTD) studies on both clean and working reactors at the same hydraulic residence time (HRT) of 2 d were carried out to investigate the dead spaces and mixing patterns in PABRs at different organic loading rates (OLRs) in various switching manners and frequencies.
Many various relevant manners and causes of death were included.
