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For an abelian group $G$ and an integer $t > 0$, the modifiedErd\H{o}s-Ginzburg-Ziv constant $s'_t(G)$ is the smallest integer $\ell$ suchthat any zero-sum sequence of length at least $\ell$ with elements in $G$contains a zero-sum subsequence (not necessarily consecutive) of length $t$. Wecompute bounds for $s'_{t}(G)$ for $G = \left(\mathbb{Z}/n\mathbb{Z}\right)^2$and $G = \left(\mathbb{Z}/n_1\mathbb{Z} \times\mathbb{Z}/n_2\mathbb{Z}\right)$. We also compute bounds for $G =\left(\mathbb{Z}/p\mathbb{Z}\right)^d$ where the subsequence can be any lengthin $\{p, \dots, (d-1)p\}$. Lastly, we investigate the Erd\H{o}s-Ginzburg-Zivconstant for $G = \left(\mathbb{Z}/n\mathbb{Z}\right)^2$ and subsequences oflength $tn$.

Modified Erd\H{o}s-Ginzburg-Ziv Constants for $(\mathbb{Z}/n\mathbb{Z})^2$