I've got a series of points recorded as an offset off from a baseline that I need to plot.

using the COGO feature I have plotted in the polyline features but I'm trying to plot in the points in a similar fashion but I cannot seem to find a way to do it.

using the COGO feature I have plotted in the polyline features but I'm trying to plot in the points in a similar fashion but I cannot seem to find a way to do it.

Do you have your points set on the line? Do you know the distances of the points along the line from a given starting point. If so, use Linear Referencing. Use Create Routes Features on your lines. The value for the position along the line will be the measure value of the points on the line and the side offset distance will make the points parallel and tangent to the line. Just change the offset between positive or negative values to alter the side of the line the point will appear on.

If the points are already created on the line use Locate Features Along Route to get their measure so that you can convert them to events and apply the side offset field to position them as offset points.