Joists extended by tecos
There's no way we can say. The doubled joists may be sufficiently stout to carry the cross-beam. Or they may not. It's a question for an on-site engineer. Strategically there are no concerns, and there's nothing "hack" about it. It's no different than a break in the joists at any other beam. Almost every home in the U.S. has such a scenario. 

By the way, those are called "joist hangers". Teco is a brand that manufacturers many products. I've never actually heard them called that, but I've heard the heavy-gauge 1-1/2" nails referred to as "teco nails".