If either the carryover effect or the period effect is statistically significant, you should not evaluate equivalence because your results may be biased by these effects.
Use the p-value for each effect to determine whether it is statistically significant. If the p-value for an effect is below the alpha level (typically, 0.05), then the effect is significant.
Compare the confidence interval with the equivalence limits. If the confidence interval is completely within the equivalence limits, you can claim that the mean of the test population is equivalent to the mean of the reference population. If part of the confidence interval is outside the equivalence limits, you cannot claim equivalence.