You could follow the NIH news feed that contains some of what gets funded but its actually quite difficult given the various institutions all over the world that all fund studies including charities and the universities themselves. On an individual topic with time you could learn who most of the major players are and follow their news but its unique to every topic.

The potentially easier way at least to get a lay of the land is to follow pubmed (https://pubmed.ncbi.nlm.nih.gov/) for the topic you are interested in, if you then look into those papers you will find funding statements as well as the place the research was conducted and use both to build up a picture of the origins of research in a field.

Afraid I don't know of an easier way not a generic one anyway. Sometimes you just have to follow the right person on twitter who announces trials or studies or be at the right conference. Start with pubmed and the output papers and that will get you started. Then also have a search on the NIH and that might lead you to some links to groups and institutions they fund.