If $$3\tan\theta=2\sqrt{3}\sin\theta$$, $$0^{\circ} <\theta <90^{\circ}$$, then the value of $$\frac{\csc^{2} 2\theta+\cot^{2} 2\theta}{\sin^{2}\theta+\tan^{2}2\theta}$$ is:

A

$$\frac{4}{13}$$

B

$$\frac{20}{39}$$

C

$$\frac{4}{3}$$

D

$$\frac{20}{27}$$