GLS periodograms of the ESPRESSO RVs and activity indicators for TOI-4336 A (left) and TOI-4342 (right) obtained with the LBL (red) and CCF (blue) methods, and of TESS photometry (purple). The gray curve corresponds to the window function. The vertical brown lines indicate the possible stellar rotation period at ∼36 days (resp ∼14 days) (dashed line) and its first harmonic at ∼18 days (resp ∼7 days) (dotted line). The pink and blue (resp orange and green) vertical dashed lines mark the expected orbital periods of planets b and c, respectively. The 10%, 1%, and 0.1% False Alarm Probability (FAP) levels are shown as gray horizontal dashed, dash-dotted, and dotted lines, respectively.