  We investigate the $\bar{p} p \to \phi \phi$ reaction within an effective
Lagrangian approach.We show that the inclusion of either a scalar meson $f_0$
or a tensor meson $f_2$ in the $s$-channel can lead to a fairly good
description of the bump structure of the total cross section around the
invariant $\bar{p} p$ mass $W \simeq 2.2$ GeV, which cannot be reproduced with
only the "background" contributions from $t$- and $u$-channel $N^*(1535)$
resonance as studied in a previous work. From the fits, we infer the properties
of the involved scalar or tensor resonances.
