It is straightforward in EViews and other software. Here are the simple steps for computing a time-varying hedge ratio:
Step 1: Estimate the BEKK model in EViews using spot and futures returns. Step 2: compute the time-varying correlations (rho_t) based on the covariances (because the BEKK model generates covariances). Step 3: Compute the hedge ratio by rho_t * (standard deviation of spot_t / standard deviation of futures_t). Note that one can compute the standard deviations by sqrt(h11t) and sqrt(h22t), where h11t and h22t are conditional variances that can be normally generated in EViews or other software by default.