The phrase "eases up on" is typically used to mean "relax or lessen one's efforts, pressure, or expectations". Therefore, some possible antonyms for this phrase could include "intensify", "accelerate", "increase", or "strengthen". These words imply that one should push harder or apply more pressure, instead of easing up. For instance, instead of easing up on their workouts, an athlete might choose to intensify their training regimen to improve their performance. Similarly, a manager might decide to accelerate their team's productivity by raising the bar and setting higher expectations. Therefore, depending on the context, the antonyms for "eases up on" may vary, but they all entail an increase in effort or intensity.