Y-axis (left axis / right axis)
To access the configuration options for the Y-axis, click the (configuration options) icon to the right of the Y-Axis label:

Options
These settings control only the axis itself. To customize the series mapped to the axis, use the dropdown next to the series/field.
The settings in the Y-Axis tab control the title, type, domain, scale, and stacking of the axis.
Axis types
The Type setting controls the type of Y-axis used in the visualization. Omni will select a default axis type depending on the data in the query, but you can override it using this setting.
Note: Depending on the selected type, some settings - such as domain and scale - may become unavailable.
Labels
The settings in the Labels tab allow you to customize how labels associated with the Y-axis display in the visualization:
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Show labels - If enabled, labels will display on the Y-axis
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Show axis line - If enabled, a line representing the Y-axis will display
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Show ticks - If enabled, ticks will display along the Y-axis
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Font - Options for customizing the styling and color of Y-axis labels
Axis colors & light/dark modeWhen selecting axis colors, note that there aren't separate settings for light and dark mode.
The default palette will adjust colors based on the selected mode - such as a dark axis in light mode - but when explicitly defined, the color you select will be used in both light and dark mode.
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Format - Defines the format Y-axis labels use, such as the number of decimals for numbers
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Label rotation - Controls the degree of rotation for Y-axis labels
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Tickets - Controls the number of ticks that display between labels
Reference lines

Settings in the Reference line tab allow you to define a reference line, which is a quick way to set targets on a chart. There is limited configuration for these, so more complex use cases may be better served with table calculations as a regular, independent series.
Grid
Settings in the Grid tab control if and how grid lines display in the background of the visualization.
Vega-lite options
Long-tail axis configuration is available in the Vega-lite spec.