youYou can think on prices like p = (1+m)w
$p = (1+m)w$, which means that prices are the value osof inputs (w$w$) multiplied by the margin (1+m$1+m$) of the firms. So it is clear that raising firms margin woudwould increase prices. This is cost-push inflation because the margin are part of the firm´s costs, it is a payment to a factor, like capital or entrepreneurship.
A raise in money supply don´t cause cost-push inflation directly, but causes demand-push inflation, which can increase also increase the prices of productive factors and inputs to production (w) as well, if firms can pass this increases in their cost to produce to their price, then you have a channel of cost-push inflation.