[Lyric]

They do have a branding guideline site available, that includes the font used in their current image:
tv2marketing.dk 

I'd suggest keeping an eye on it once the new identity is out

Still the old branding information on that site. I've managed to find the new TV2 font but only at Regular weight. Wish they'd hurry up! 

Fun fact, and I checked - the new TV2 font is one of those new-fangled "Variable" fonts, where all the weights and italics are in one file