Although I'm unfamiliar with Tektro Lyra's, I have been bedding in a new Shimano SLX disc brake on my commuter so have a little recent experience on this.
Given you are only 20 miles in I'd give it a little more time as this 'grinding' noise may just be the very top layer of the new pad wearing in. If it's still 'grinding' after 100 or so miles I'd take it back to the bike shop and ask them to check it over. Brake shudder may indicate the pads or calipers are every so slightly mis-aligned. There are loads of tutorials online about how to align them: <
My SLX has taken about 120-130 miles (or 2-3 weeks' daily use) to bed in properly.
Hope that helps!