  Following the same framework of the special value results of convolutions of
Goss and Pellarin $L$-series attached to Drinfeld modules that take values in
Tate algebras by Papanikolas and the author, we establish special value results
of convolutions of two Goss $L$-series attached to Drinfeld modules that take
values in ${\mathbb{F}_q}(\!(\frac{1}{\theta})\!).$ Applying the class module
formula of Fang to tensor products of two Drinfeld modules, we provide special
value formulas for their $L$-functions. By way of the theory of Schur
polynomials these identities take the form of specializations of convolutions
of Rankin-Selberg type. Finally, we show an explicit computation of the
regulators appearing in Fang's class module formula for tensor products as well
as symmetric and alternating squares of Drinfeld modules.
