A method for controlling a wash process in a washing appliance (1) includes supplying a detergent in the washing appliance; detecting (24) a type of detergent supplied; performing a wash cycle (26), the wash cycle ending with a washing liquor drain (26a); and performing a rinsing cycle (30; 50; 50′; 50″). During the rinsing cycle (30; 50; 50′; 50″), when the type of said detected detergent is a powder detergent: after the washing liquor drain (26a), introducing water (32; 35) into the washing chamber for a first rinsing step, and between the washing liquor drain (26a) and the first water intake (32; 35) tumbling (33; 33a; 33b; 33c; 36; 37; 36a; 37a) laundry in the washing chamber at a revolving speed lower than a minimum spinning speed, which is the speed at which the laundry remain attached to an inner wall of the washing chamber, so that no spinning is performed between said washing liquor drain and said first water intake. During the rinsing cycle (30; 50; 50′; 50″), in case the type of the detected detergent is a powder detergent: tumbling said laundry (36, 37, 36a, 37a) for a time interval (T6, T7, T8) different from the corresponding time interval (T1, T2) during which the laundry is tumbled in a rinsing cycle where a liquid or gel detergent is detected.