VOA is a short form of the proper name Voice of America, which is an official agency of the US government for public communications outside the US.
Learning English is also a proper name, that of a department or branch of VOA which offers English-language instruction and supplementary materials through radio, television, internet and mobile-phone broadcasts.
So VOA Learning English is the full name—a “compound” proper name if you like—of the producing organization, just like (for instance) the US Department of Agriculture. The Making of a Nation is a series of broadcasts on US history produced and broadcast by VOA Learning English.
The From at the beginning of the sentence is a conventional broadcast opening which tells the listener or viewer where the broadcast originates; it is structured to say as well that the welcome comes from the producing organization.
From us, welcome to the program.