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In recent work, Feng–Yun–Zhang constructed higher theta series for unitary groups valued in cycles on the moduli stack of Hermitian shtukas, and prove that these theta series are modular after restriction to the generic fiber and passing to l-adic cohomology. Motivated by ideas from the relative Langlands program, we generalize their construction to a natural class of reductive dual pairs, and prove generic modularity on l-adic cohomology. This is based on joint work with Yujie Xu.