Huh?
I think it's a very roundabout way of them saying the satellite measurements indicated a decrease in tropical temperatures from the 1980s through the 1990s. The presumed lack of clouds and increased radiational cooling is their excuse.
It all has to do with a drop in temperature but they won't say that. Instead "their findings indicate less cloud cover blocking incoming radiation and trapped outgoing heat". I.e., an excuse for atmospheric cooling.
Their findings indicate less cloud cover blocked incoming radiation and trapped outgoing heat.
That sentence says that clouds allow incoming radiation and allow heat to escape the atmosphere, which is wrong. I think they meant to say:
Their findings indicate less cloud cover blocking incoming radiation and trapping outgoing heat.