There is no straightforward answer that I can link you to, but it boils down to attempts to export their flavour of politics, types of news outlets (GB News), cultural controversies (hot-button issues that are mostly an issue in the US), and to some extent overall culture (via Hollywood & Disney productions mostly, IMO).

What is GB news?

Are you sure all of that is not just a consequence of economies of scale and using a common language?

It does not take a grand conspiracy to influence businesses that sell near zero marginal cost to want to sell their media to other English speaking countries.

> What is GB news?

Fairly new Fox News equivalent but with far less viewers

It would be a mistake to lump these two broad groups of influences together. Mostly because while they're both intentional, paid campaigns, they're paid for by very different groups.

It would also be a mistake to assume any of this is what one might call natural cultural contamination.

By sharing the anglosphere

USA's biggest export has always been culture. Western countries without legally-mandated (weaker) cultures have pretty much always just absorbed American culture wholesale. We are seeing Canada's attempt to protect a Canadian identity now with laws that Netflix and Spotify have to carry at least 30% Canadian-made programming.

But there's only so much Bieber and Rush you can listen to and I honestly can't even think of a Canadian television show.

So you can see that this frog has already been boiled.

The top five US exports are Gasoline and Other Fuels, Crude Petroleum, Liquified Natural Gas (LNG) and Other Natural Gases, Civilian Aircraft Parts and Passenger Vehicles.

And Canada has always had Canada-first set asides.

Define Canadian made, because I feel like half the time I look up someone working in Hollywood, they grew up in Canada (or UK). They choose to work in Hollywood for obvious reasons.

These are my feelings as well.