Upon seeing Rushbird, I thought it looked like a combination of God Reideen and Godannar. Turns out Masahiro Yamane is the mecha designer for those three.
The main character is Ichitaka Nagumo, a 15-year-old in his third year at middle school who wants to be a "hero of justice". His partner AL-3 (Alice) is an android constructed by Professor Krall Graif to help operate the Rushbird, whose attacks so far include Maser Eye and Lightning Fist. The rival is Yuunagi Graif, the Professor's 18-year-old son who (I believe) had a big brother-esque relationship with Ichitaka. His partner HL-0 (Haruno) is an android like Alice who helps operate Yuunagi's mecha, Straybird, whose attacks include Crow Machinegun and Pheasant Cutter.
Sakuya: "Whatever. Stop lying and give up your schemes, now."
Yukari: (Which lies and schemes are she talking about? It's hard to keep track of them all...)
-Touhou 07.5 ~ Immaterial and Missing Power