How does tariff increase inflation?
Foreign produced goods will see price increases directly as a result of the tariff, which adds to the prices of these goods.  The full tariff may not be passed through, as these higher prices will reduce demand, changing the supply/demand balance

Domestically produced goods will usually see price increases indirectly as a result of the tariff, as demand for these domestically produced goods will increase as a result of the weaker competition from foreign produced goods, assuming an upward sloping supply curve

Your quotes translate these likely price effects from tariffs into "inflation pressure"